تكلم مع الذكاء الاصطناعي
Deck 2: Limits and Continuity
ملء الشاشة (f)
سؤال
For the function graphed below, identify 
or state that the limit does not exist. 
A) 0
B)
C)
D) does not exist
or state that the limit does not exist. A) 0
B)
C)
D) does not exist
سؤال
For the function graphed below, identify 
or state that the limit does not exist. 
A) 0
B)
C)
D) does not exist
or state that the limit does not exist. A) 0
B)
C)
D) does not exist
سؤال
Estimate the slope of 
at 
.
A)
B)
C)
D)
at .A)
B)
C)
D)
سؤال
Complete the tables appropriately and use the numerical evidence to conjecture the value of 
. 
A) 0
B) -1
C) 1
D) -2
. A) 0
B) -1
C) 1
D) -2
سؤال
For the function graphed below, identify 
or state that the limit does not exist. 
A) 1
B) 2
C) 3
D) does not exist
or state that the limit does not exist. A) 1
B) 2
C) 3
D) does not exist
سؤال
For the function graphed below, identify 
or state that the limit does not exist. 
A) 0
B) 2
C)
D) does not exist
or state that the limit does not exist. A) 0
B) 2
C)
D) does not exist
سؤال
Estimate the slope of 
at 
.
A) 6
B) 3
C) 18
D) 9
at .A) 6
B) 3
C) 18
D) 9
سؤال
Estimate the slope of 
at 
.
A)
B)
C)
D)
at .A)
B)
C)
D)
سؤال
Estimate the length of the curve 
on the interval 
using four line segments. Round the answer to 3 decimal places.
A) 16.492
B) 8.000
C) 16.638
D) 16.000
on the interval using four line segments. Round the answer to 3 decimal places.A) 16.492
B) 8.000
C) 16.638
D) 16.000
سؤال
Complete the tables appropriately and use the numerical evidence to conjecture the value of 
. 
A) 0
B) 5
C) -20
D) 12
. A) 0
B) 5
C) -20
D) 12
سؤال
For the function graphed below, identify 
or state that the limit does not exist. 
A) 0
B)
C)
D) does not exist
or state that the limit does not exist. A) 0
B)
C)
D) does not exist
سؤال
Estimate the length of the curve 
on the interval 
using three line segments. Round the answer to 3 decimal places.
A) 3.464
B) 3.518
C) 1.732
D) 0.577
on the interval using three line segments. Round the answer to 3 decimal places.A) 3.464
B) 3.518
C) 1.732
D) 0.577
سؤال
For the function graphed below, identify 
or state that the limit does not exist. 
A) 0
B)
C)
D) does not exist
or state that the limit does not exist. A) 0
B)
C)
D) does not exist
سؤال
Estimate the slope of 
at 
.
A)
B)
C)
D)
at .A)
B)
C)
D)
سؤال
For the function graphed below, identify 
or state that the limit does not exist. 
A) 0
B) 1
C) 3
D) does not exist
or state that the limit does not exist. A) 0
B) 1
C) 3
D) does not exist
سؤال
Sketch the graph of 
. What is 
? 
A)
B)
C)
D) does not exist
. What is ? A)
B)
C)
D) does not exist
سؤال
Estimate the slope of 
at 
.
A) -2.00
B) 0.00
C) 1.00
D) 1.41
at .A) -2.00
B) 0.00
C) 1.00
D) 1.41
سؤال
Estimate the slope of 
at 
.
A)
B)
C)
D)
at .A)
B)
C)
D)
سؤال
For the function graphed below, identify 
or state that the limit does not exist. 
A) 0
B) 2
C)
D) does not exist
or state that the limit does not exist. A) 0
B) 2
C)
D) does not exist
سؤال
Sketch the graph of 
. What is 
? 
A)
B) 0
C) 5
D) does not exist
. What is ? A)
B) 0
C) 5
D) does not exist
سؤال
Find the limit or explain why it does not exist. 
A)
B)
C)
D) The limit does not exist; the function is not defined for
.
A)
B)
C)
D) The limit does not exist; the function is not defined for
. سؤال
Use graphical and numerical evidence to determine if 
exists. If so, state the limit.
A) the limit exists and is
at 
B) the limit exists and is 0 at
C) does not exist; the right and left limits at
are different
D) does not exist; the function is increasing without bound at
exists. If so, state the limit.A) the limit exists and is
at B) the limit exists and is 0 at
C) does not exist; the right and left limits at
are differentD) does not exist; the function is increasing without bound at
سؤال
Use graphical and numerical evidence to determine if 
exists. If so, state the limit.
A) The limit exists and is
at 
.
B) The limit exists and is
at 
.
C) The limit does not exist; the function is increasing without bound from the left and decreasing without bound from the right at
.
D) The limit does not exist; the function is decreasing without bound from the left and decreasing without bound from the right at
.
exists. If so, state the limit.A) The limit exists and is
at .B) The limit exists and is
at .C) The limit does not exist; the function is increasing without bound from the left and decreasing without bound from the right at
.D) The limit does not exist; the function is decreasing without bound from the left and decreasing without bound from the right at
. سؤال
Evaluate the limit, if it exists. 
A)
B)
C)
D) does not exist
A)
B)
C)
D) does not exist
سؤال
Find the limit or explain why it does not exist. 
A)
B)
C)
D) The limit does not exist; the function is not defined for
.
A)
B)
C)
D) The limit does not exist; the function is not defined for
. سؤال
Evaluate the limit, if it exists. 
A)
B)
C)
D) does not exist
A)
B)
C)
D) does not exist
سؤال
Evaluate the limit, if it exists. 
A) 0
B)
C)
D) does not exist
A) 0
B)
C)
D) does not exist
سؤال
Use graphical and numerical evidence to estimate the limit. 
A)
B) 0
C)
D)
A)
B) 0
C)
D)
سؤال
Sketch the graph of a function with the given properties. 
سؤال
Sketch the graph of a function with the given properties. 
سؤال
Evaluate the limit, if it exists. Assume that 
A) 0
B) 10
C)
D) The limit does not exist.
A) 0
B) 10
C)
D) The limit does not exist.
سؤال
Use graphical and numerical evidence to determine if 
exists. If so, state the limit.
A) The limit exists and is
at 
.
B) The limit exists and is
at 
.
C) The limit does not exist; the function is increasing without bound at
.
D) The limit does not exist; the function is decreasing without bound at
.
exists. If so, state the limit.A) The limit exists and is
at .B) The limit exists and is
at .C) The limit does not exist; the function is increasing without bound at
.D) The limit does not exist; the function is decreasing without bound at
. سؤال
Use graphical and numerical evidence to determine if 
exists. If so, state the limit.
A) The limit exists and is
at 
.
B) The limit exists and is
at 
.
C) The limit does not exist; the function is increasing without bound from the right at
and is undefined for 
.
D) The limit does not exist; the function is decreasing without bound from the right at
and is undefined for 
.
exists. If so, state the limit.A) The limit exists and is
at .B) The limit exists and is
at .C) The limit does not exist; the function is increasing without bound from the right at
and is undefined for .D) The limit does not exist; the function is decreasing without bound from the right at
and is undefined for . سؤال
Evaluate the limit, if it exists. 
A)
B)
C) e
D) does not exist
A)
B)
C) e
D) does not exist
سؤال
Use graphical and numerical evidence to estimate the limit. 
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Use graphical and numerical evidence to estimate the limit. 
A) 0
B)
C)
D)
A) 0
B)
C)
D)
سؤال
Evaluate the limit, if it exists. 
A) 0
B) 1
C)
D) does not exist
A) 0
B) 1
C)
D) does not exist
سؤال
Find the limit or explain why it does not exist. 
A)
B)
C) The limit does not exist; the function increases without bound as x approaches 6 from the right.
D) The limit does not exist; the function is not defined for
.
A)
B)
C) The limit does not exist; the function increases without bound as x approaches 6 from the right.
D) The limit does not exist; the function is not defined for
. سؤال
A ski rental shop charges $6.00 for each hour, or portion of an hour, its ski equipment is rented for up to a maximum of $48.00 for all day. If 
equals the total charge for the ski equipment for t hours, determine the limit 
, if it exists.
A) $15.00
B) $12.00
C) $18.00
D) The limit does not exist.
equals the total charge for the ski equipment for t hours, determine the limit , if it exists.A) $15.00
B) $12.00
C) $18.00
D) The limit does not exist.
سؤال
Evaluate the limit, if it exists. 
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Complete the table appropriately and use the numerical evidence to conjecture the value of 
. 
A) 0
B) 1
C) 3.5
D)
. A) 0
B) 1
C) 3.5
D)
سؤال
For the position function f(t) 
(feet) find the instantaneous velocity at time 
seconds.
A)
feet per second
B)
feet per second
C)
feet per second
D)
feet per second
(feet) find the instantaneous velocity at time seconds.A)
feet per secondB)
feet per secondC)
feet per secondD)
feet per second سؤال
Evaluate the limit, if it exists. 
A) 0
B) 8
C) 9
D) The limit does not exist.
A) 0
B) 8
C) 9
D) The limit does not exist.
سؤال
Evaluate the limit, if it exists. 
A)
B)
C)
D) does not exist
A)
B)
C)
D) does not exist
سؤال
Given 
, 
and 
, find 
.
A)
B)
C)
D) The limit does not exist.
, and , find .A)
B)
C)
D) The limit does not exist.
سؤال
Find all discontinuities. 
For each discontinuity that is removable, define a new function that removes the discontinuity.
For each discontinuity that is removable, define a new function that removes the discontinuity. سؤال
Find all discontinuities. 
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) continuous for all x
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) continuous for all x
سؤال
Given 
and 
, find 
.
A)
B)
C)
D) The limit does not exist.
and , find .A)
B)
C)
D) The limit does not exist.
سؤال
Find all discontinuities. 
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) continuous for all x
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) continuous for all x
سؤال
Given 
and 
, find 
.
A)
B)
C)
D)
and , find .A)
B)
C)
D)
سؤال
Evaluate 
where 
.
A)
B)
C)
D) does not exist
where .A)
B)
C)
D) does not exist
سؤال
Find all discontinuities. 
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) continuous for all x
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) continuous for all x
سؤال
Given that 
find the limit or explain why it does not exist. 
A)
B)
C)
D) The limit does not exist; the function is not defined at
.
find the limit or explain why it does not exist. A)
B)
C)
D) The limit does not exist; the function is not defined at
. سؤال
Evaluate 
where 
.
A)
B)
C)
D) does not exist
where .A)
B)
C)
D) does not exist
سؤال
Determine where 
is continuous.
A)
B)
C)
D)
is continuous.A)
B)
C)
D)
سؤال
Evaluate the limit, if it exists. Assume that 
A) 0
B)
C)
D) The limit does not exist.
A) 0
B)
C)
D) The limit does not exist.
سؤال
Evaluate the limit, if it exists. 
A)
B)
C)
D) does not exist
A)
B)
C)
D) does not exist
سؤال
Suppose that a state's tax code states that tax liability is 
% on the first 
of taxable earnings and 
% on the remainder. Find the constants a and b in the tax function T(x) 
such that 
and 
exists.
A)
and 
B)
and 
C)
and 
D)
and 
% on the first of taxable earnings and % on the remainder. Find the constants a and b in the tax function T(x) such that and exists.A)
and B)
and C)
and D)
and سؤال
Evaluate the limit, if it exists. 
A)
B)
C)
D) does not exist
A)
B)
C)
D) does not exist
سؤال
For the position function f(t) 
(feet) find the instantaneous velocity at time 
seconds.
A)
feet per second
B)
feet per second
C)
feet per second
D)
feet per second
(feet) find the instantaneous velocity at time seconds.A)
feet per secondB)
feet per secondC)
feet per secondD)
feet per second سؤال
Determine if f is continuous at 
from the right. 
A)
but 
is continuous from the right
B)
so 
is continuous from the right
C)
so 
is not continuous from the right
D)
but 
is not continuous from the right
from the right. A)
but is continuous from the rightB)
so is continuous from the rightC)
so is not continuous from the rightD)
but is not continuous from the right سؤال
Determine the intervals where f is continuous. 
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Determine the values of a and b that make f(x) continuous. 
Use 
.
A)
B)
C)
D) No values of a and b will make f(x) continuous.
Use .A)
B)
C)
D) No values of a and b will make f(x) continuous.
سؤال
Suppose that a state's tax code states that tax liability is 
% on the first 
of taxable earnings and 
% on the remainder. Find the constants a and b in the tax function T(x) that make the function T(x) continuous. 
A)
and 
B)
and 
C)
and 
D)
and 
% on the first of taxable earnings and % on the remainder. Find the constants a and b in the tax function T(x) that make the function T(x) continuous. A)
and B)
and C)
and D)
and سؤال
Determine the limit. 
Answer with a number, 
, 
or that the limit does not exist.
A)
B)
C) 0
D) 16
E) The limit does not exist.
Answer with a number, , or that the limit does not exist.A)
B)
C) 0
D) 16
E) The limit does not exist.
سؤال
Determine the intervals where f is continuous. 
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Determine if f is continuous at 
from the right. 
A)
, but 
is continuous from the right
B)
, so 
is continuous from the right
C)
, so 
is not continuous from the right
D)
, but 
is not continuous from the right
from the right. A)
, but is continuous from the rightB)
, so is continuous from the rightC)
, so is not continuous from the rightD)
, but is not continuous from the right سؤال
Explain why the function fails to be continuous at 
by indicating which of the conditions in the definition of continuity are not met. 
A)
exists but 
does not exist
B)
exists but 
does not exist
C) neither
nor 
exist
D)
exists and 
exists but 
by indicating which of the conditions in the definition of continuity are not met. A)
exists but does not existB)
exists but does not existC) neither
nor existD)
exists and exists but سؤال
Determine the values of a and b that make f(x) continuous. 
A)
B)
C)
D) No values of a and b will make f(x) continuous.
A)
B)
C)
D) No values of a and b will make f(x) continuous.
سؤال
Use the graph to identify all discontinuities f. 
سؤال
Determine the intervals where f is continuous. 
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Use the graph to identify all discontinuities of f. 
سؤال
Determine the intervals on which 
is continuous. 
A)
B)
C)
D)
is continuous. A)
B)
C)
D)
سؤال
Use the Intermediate Value Theorem to determine if f has a zero in the interval [3,8]. ![Use the Intermediate Value Theorem to determine if f has a zero in the interval [3,8]. <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB2342/11eaa948_cdd0_47e1_84bc_59608c03beec_TB2342_11.jpg)
سؤال
Use the graph to identify all discontinuities of f. 
سؤال
Use the graph to identify all discontinuities of f. 
سؤال
Determine the intervals on which 
is continuous. 
A)
B)
C)
D)
is continuous. A)
B)
C)
D)
سؤال
Determine the intervals where f is continuous. 
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Use the Intermediate Value Theorem to determine if f has a zero in the interval [3, 9]. ![Use the Intermediate Value Theorem to determine if f has a zero in the interval [3, 9]. <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB2342/11eaa948_cdd0_47e2_84bc_65b15c283937_TB2342_11.jpg)
سؤال
Find all discontinuities. 
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) continuous for all x
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) continuous for all x
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العب
ملء الشاشة (f)
Deck 2: Limits and Continuity
1
For the function graphed below, identify or state that the limit does not exist.
A) 0
B)
C)
D) does not exist
or state that the limit does not exist. A) 0
B)
C)
D) does not exist
C
2
For the function graphed below, identify or state that the limit does not exist.
A) 0
B)
C)
D) does not exist
or state that the limit does not exist. A) 0
B)
C)
D) does not exist
A
3
Estimate the slope of at .
A)
B)
C)
D)
at .A)
B)
C)
D)
D
4
Complete the tables appropriately and use the numerical evidence to conjecture the value of .
A) 0
B) -1
C) 1
D) -2
. A) 0
B) -1
C) 1
D) -2
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5
For the function graphed below, identify or state that the limit does not exist.
A) 1
B) 2
C) 3
D) does not exist
or state that the limit does not exist. A) 1
B) 2
C) 3
D) does not exist
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6
For the function graphed below, identify or state that the limit does not exist.
A) 0
B) 2
C)
D) does not exist
or state that the limit does not exist. A) 0
B) 2
C)
D) does not exist
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7
Estimate the slope of at .
A) 6
B) 3
C) 18
D) 9
at .A) 6
B) 3
C) 18
D) 9
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8
Estimate the slope of at .
A)
B)
C)
D)
at .A)
B)
C)
D)
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9
Estimate the length of the curve on the interval using four line segments. Round the answer to 3 decimal places.
A) 16.492
B) 8.000
C) 16.638
D) 16.000
on the interval using four line segments. Round the answer to 3 decimal places.A) 16.492
B) 8.000
C) 16.638
D) 16.000
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10
Complete the tables appropriately and use the numerical evidence to conjecture the value of .
A) 0
B) 5
C) -20
D) 12
. A) 0
B) 5
C) -20
D) 12
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11
For the function graphed below, identify or state that the limit does not exist.
A) 0
B)
C)
D) does not exist
or state that the limit does not exist. A) 0
B)
C)
D) does not exist
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12
Estimate the length of the curve on the interval using three line segments. Round the answer to 3 decimal places.
A) 3.464
B) 3.518
C) 1.732
D) 0.577
on the interval using three line segments. Round the answer to 3 decimal places.A) 3.464
B) 3.518
C) 1.732
D) 0.577
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13
For the function graphed below, identify or state that the limit does not exist.
A) 0
B)
C)
D) does not exist
or state that the limit does not exist. A) 0
B)
C)
D) does not exist
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14
Estimate the slope of at .
A)
B)
C)
D)
at .A)
B)
C)
D)
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15
For the function graphed below, identify or state that the limit does not exist.
A) 0
B) 1
C) 3
D) does not exist
or state that the limit does not exist. A) 0
B) 1
C) 3
D) does not exist
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16
Sketch the graph of . What is ?
A)
B)
C)
D) does not exist
. What is ? A)
B)
C)
D) does not exist
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k this deck
17
Estimate the slope of at .
A) -2.00
B) 0.00
C) 1.00
D) 1.41
at .A) -2.00
B) 0.00
C) 1.00
D) 1.41
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18
Estimate the slope of at .
A)
B)
C)
D)
at .A)
B)
C)
D)
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19
For the function graphed below, identify or state that the limit does not exist.
A) 0
B) 2
C)
D) does not exist
or state that the limit does not exist. A) 0
B) 2
C)
D) does not exist
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20
Sketch the graph of . What is ?
A)
B) 0
C) 5
D) does not exist
. What is ? A)
B) 0
C) 5
D) does not exist
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21
Find the limit or explain why it does not exist.
A)
B)
C)
D) The limit does not exist; the function is not defined for .
A)
B)
C)
D) The limit does not exist; the function is not defined for
. فتح الحزمة
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22
Use graphical and numerical evidence to determine if exists. If so, state the limit.
A) the limit exists and is at
B) the limit exists and is 0 at
C) does not exist; the right and left limits at are different
D) does not exist; the function is increasing without bound at
exists. If so, state the limit.A) the limit exists and is
at B) the limit exists and is 0 at
C) does not exist; the right and left limits at
are differentD) does not exist; the function is increasing without bound at
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23
Use graphical and numerical evidence to determine if exists. If so, state the limit.
A) The limit exists and is at .
B) The limit exists and is at .
C) The limit does not exist; the function is increasing without bound from the left and decreasing without bound from the right at .
D) The limit does not exist; the function is decreasing without bound from the left and decreasing without bound from the right at .
exists. If so, state the limit.A) The limit exists and is
at .B) The limit exists and is
at .C) The limit does not exist; the function is increasing without bound from the left and decreasing without bound from the right at
.D) The limit does not exist; the function is decreasing without bound from the left and decreasing without bound from the right at
. فتح الحزمة
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k this deck
24
Evaluate the limit, if it exists.
A)
B)
C)
D) does not exist
A)
B)
C)
D) does not exist
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k this deck
25
Find the limit or explain why it does not exist.
A)
B)
C)
D) The limit does not exist; the function is not defined for .
A)
B)
C)
D) The limit does not exist; the function is not defined for
. فتح الحزمة
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k this deck
26
Evaluate the limit, if it exists.
A)
B)
C)
D) does not exist
A)
B)
C)
D) does not exist
فتح الحزمة
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k this deck
27
Evaluate the limit, if it exists.
A) 0
B)
C)
D) does not exist
A) 0
B)
C)
D) does not exist
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k this deck
28
Use graphical and numerical evidence to estimate the limit.
A)
B) 0
C)
D)
A)
B) 0
C)
D)
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29
Sketch the graph of a function with the given properties.
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30
Sketch the graph of a function with the given properties.
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31
Evaluate the limit, if it exists. Assume that
A) 0
B) 10
C)
D) The limit does not exist.
A) 0
B) 10
C)
D) The limit does not exist.
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32
Use graphical and numerical evidence to determine if exists. If so, state the limit.
A) The limit exists and is at .
B) The limit exists and is at .
C) The limit does not exist; the function is increasing without bound at .
D) The limit does not exist; the function is decreasing without bound at .
exists. If so, state the limit.A) The limit exists and is
at .B) The limit exists and is
at .C) The limit does not exist; the function is increasing without bound at
.D) The limit does not exist; the function is decreasing without bound at
. فتح الحزمة
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k this deck
33
Use graphical and numerical evidence to determine if exists. If so, state the limit.
A) The limit exists and is at .
B) The limit exists and is at .
C) The limit does not exist; the function is increasing without bound from the right at and is undefined for .
D) The limit does not exist; the function is decreasing without bound from the right at and is undefined for .
exists. If so, state the limit.A) The limit exists and is
at .B) The limit exists and is
at .C) The limit does not exist; the function is increasing without bound from the right at
and is undefined for .D) The limit does not exist; the function is decreasing without bound from the right at
and is undefined for . فتح الحزمة
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k this deck
34
Evaluate the limit, if it exists.
A)
B)
C) e
D) does not exist
A)
B)
C) e
D) does not exist
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k this deck
35
Use graphical and numerical evidence to estimate the limit.
A)
B)
C)
D)
A)
B)
C)
D)
فتح الحزمة
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k this deck
36
Use graphical and numerical evidence to estimate the limit.
A) 0
B)
C)
D)
A) 0
B)
C)
D)
فتح الحزمة
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k this deck
37
Evaluate the limit, if it exists.
A) 0
B) 1
C)
D) does not exist
A) 0
B) 1
C)
D) does not exist
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38
Find the limit or explain why it does not exist.
A)
B)
C) The limit does not exist; the function increases without bound as x approaches 6 from the right.
D) The limit does not exist; the function is not defined for .
A)
B)
C) The limit does not exist; the function increases without bound as x approaches 6 from the right.
D) The limit does not exist; the function is not defined for
. فتح الحزمة
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39
A ski rental shop charges $6.00 for each hour, or portion of an hour, its ski equipment is rented for up to a maximum of $48.00 for all day. If equals the total charge for the ski equipment for t hours, determine the limit , if it exists.
A) $15.00
B) $12.00
C) $18.00
D) The limit does not exist.
equals the total charge for the ski equipment for t hours, determine the limit , if it exists.A) $15.00
B) $12.00
C) $18.00
D) The limit does not exist.
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40
Evaluate the limit, if it exists.
A)
B)
C)
D)
A)
B)
C)
D)
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41
Complete the table appropriately and use the numerical evidence to conjecture the value of .
A) 0
B) 1
C) 3.5
D)
. A) 0
B) 1
C) 3.5
D)
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42
For the position function f(t) (feet) find the instantaneous velocity at time seconds.
A) feet per second
B) feet per second
C) feet per second
D) feet per second
(feet) find the instantaneous velocity at time seconds.A)
feet per secondB)
feet per secondC)
feet per secondD)
feet per second فتح الحزمة
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43
Evaluate the limit, if it exists.
A) 0
B) 8
C) 9
D) The limit does not exist.
A) 0
B) 8
C) 9
D) The limit does not exist.
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44
Evaluate the limit, if it exists.
A)
B)
C)
D) does not exist
A)
B)
C)
D) does not exist
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45
Given , and , find .
A)
B)
C)
D) The limit does not exist.
, and , find .A)
B)
C)
D) The limit does not exist.
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46
Find all discontinuities. For each discontinuity that is removable, define a new function that removes the discontinuity.
For each discontinuity that is removable, define a new function that removes the discontinuity. فتح الحزمة
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47
Find all discontinuities.
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) continuous for all x
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) continuous for all x
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48
Given and , find .
A)
B)
C)
D) The limit does not exist.
and , find .A)
B)
C)
D) The limit does not exist.
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49
Find all discontinuities.
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) continuous for all x
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) continuous for all x
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50
Given and , find .
A)
B)
C)
D)
and , find .A)
B)
C)
D)
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51
Evaluate where .
A)
B)
C)
D) does not exist
where .A)
B)
C)
D) does not exist
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52
Find all discontinuities.
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) continuous for all x
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) continuous for all x
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53
Given that find the limit or explain why it does not exist.
A)
B)
C)
D) The limit does not exist; the function is not defined at .
find the limit or explain why it does not exist. A)
B)
C)
D) The limit does not exist; the function is not defined at
. فتح الحزمة
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54
Evaluate where .
A)
B)
C)
D) does not exist
where .A)
B)
C)
D) does not exist
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55
Determine where is continuous.
A)
B)
C)
D)
is continuous.A)
B)
C)
D)
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k this deck
56
Evaluate the limit, if it exists. Assume that
A) 0
B)
C)
D) The limit does not exist.
A) 0
B)
C)
D) The limit does not exist.
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57
Evaluate the limit, if it exists.
A)
B)
C)
D) does not exist
A)
B)
C)
D) does not exist
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58
Suppose that a state's tax code states that tax liability is % on the first of taxable earnings and % on the remainder. Find the constants a and b in the tax function T(x) such that and exists.
A) and
B) and
C) and
D) and
% on the first of taxable earnings and % on the remainder. Find the constants a and b in the tax function T(x) such that and exists.A)
and B)
and C)
and D)
and فتح الحزمة
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59
Evaluate the limit, if it exists.
A)
B)
C)
D) does not exist
A)
B)
C)
D) does not exist
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k this deck
60
For the position function f(t) (feet) find the instantaneous velocity at time seconds.
A) feet per second
B) feet per second
C) feet per second
D) feet per second
(feet) find the instantaneous velocity at time seconds.A)
feet per secondB)
feet per secondC)
feet per secondD)
feet per second فتح الحزمة
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61
Determine if f is continuous at from the right.
A) but is continuous from the right
B) so is continuous from the right
C) so is not continuous from the right
D) but is not continuous from the right
from the right. A)
but is continuous from the rightB)
so is continuous from the rightC)
so is not continuous from the rightD)
but is not continuous from the right فتح الحزمة
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62
Determine the intervals where f is continuous.
A)
B)
C)
D)
A)
B)
C)
D)
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63
Determine the values of a and b that make f(x) continuous. Use .
A)
B)
C)
D) No values of a and b will make f(x) continuous.
Use .A)
B)
C)
D) No values of a and b will make f(x) continuous.
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64
Suppose that a state's tax code states that tax liability is % on the first of taxable earnings and % on the remainder. Find the constants a and b in the tax function T(x) that make the function T(x) continuous.
A) and
B) and
C) and
D) and
% on the first of taxable earnings and % on the remainder. Find the constants a and b in the tax function T(x) that make the function T(x) continuous. A)
and B)
and C)
and D)
and فتح الحزمة
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65
Determine the limit. Answer with a number, , or that the limit does not exist.
A)
B)
C) 0
D) 16
E) The limit does not exist.
Answer with a number, , or that the limit does not exist.A)
B)
C) 0
D) 16
E) The limit does not exist.
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k this deck
66
Determine the intervals where f is continuous.
A)
B)
C)
D)
A)
B)
C)
D)
فتح الحزمة
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67
Determine if f is continuous at from the right.
A) , but is continuous from the right
B) , so is continuous from the right
C) , so is not continuous from the right
D) , but is not continuous from the right
from the right. A)
, but is continuous from the rightB)
, so is continuous from the rightC)
, so is not continuous from the rightD)
, but is not continuous from the right فتح الحزمة
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68
Explain why the function fails to be continuous at by indicating which of the conditions in the definition of continuity are not met.
A) exists but does not exist
B) exists but does not exist
C) neither nor exist
D) exists and exists but
by indicating which of the conditions in the definition of continuity are not met. A)
exists but does not existB)
exists but does not existC) neither
nor existD)
exists and exists but فتح الحزمة
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69
Determine the values of a and b that make f(x) continuous.
A)
B)
C)
D) No values of a and b will make f(x) continuous.
A)
B)
C)
D) No values of a and b will make f(x) continuous.
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70
Use the graph to identify all discontinuities f.
فتح الحزمة
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71
Determine the intervals where f is continuous.
A)
B)
C)
D)
A)
B)
C)
D)
فتح الحزمة
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72
Use the graph to identify all discontinuities of f.
فتح الحزمة
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73
Determine the intervals on which is continuous.
A)
B)
C)
D)
is continuous. A)
B)
C)
D)
فتح الحزمة
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74
Use the Intermediate Value Theorem to determine if f has a zero in the interval [3,8].
فتح الحزمة
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75
Use the graph to identify all discontinuities of f.
فتح الحزمة
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76
Use the graph to identify all discontinuities of f.
فتح الحزمة
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k this deck
77
Determine the intervals on which is continuous.
A)
B)
C)
D)
is continuous. A)
B)
C)
D)
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78
Determine the intervals where f is continuous.
A)
B)
C)
D)
A)
B)
C)
D)
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79
Use the Intermediate Value Theorem to determine if f has a zero in the interval [3, 9].
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80
Find all discontinuities.
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) continuous for all x
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) continuous for all x
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k this deck
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