تكلم مع الذكاء الاصطناعي
Deck 2: Section 5 : Limits and Their Properties
ملء الشاشة (f)
سؤال
Use a graphing utility to graph the function 
and determine the following one-sided limit. 
A)
B)
C)
D)
E)
and determine the following one-sided limit. A)
B)
C)
D)
E)
سؤال
Determine whether 
approaches 
or 
as x approaches 
from the left and from the right by completing the tables below. 
-3.1 -3.01
-3)001
-2.999
-2)99
-2)9
-2)5
A)
B)
C)
D)
approaches or as x approaches from the left and from the right by completing the tables below. -3.1 -3.01-3)001
-2.999-2)99
-2)9
-2)5
A)
B)
C)
D)
سؤال
A petrol car is parked 
feet from a long warehouse (see figure). The revolving light on top of the car turns at a rate of 
revolution per second. The rate at which the light beam moves along the wall is 
. Find the rate 
when 
is 
. 
A)
B)
C)
D)
E)
feet from a long warehouse (see figure). The revolving light on top of the car turns at a rate of revolution per second. The rate at which the light beam moves along the wall is . Find the rate when is . A)
B)
C)
D)
E)
سؤال
Find all the vertical asymptotes (if any) of the graph of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
A 
-foot ladder is leaning against a house (see figure). If the base of the ladder is pulled away from the house at a rate of 2 feet per second, the top will move down the wall at a rate of 
, where x is the distance between the base of the ladder and the house. Find the rate r when x is 
feet. 
A)
ft/sec
B)
ft/sec
C)
D)
ft/sec
E)
ft/sec
-foot ladder is leaning against a house (see figure). If the base of the ladder is pulled away from the house at a rate of 2 feet per second, the top will move down the wall at a rate of , where x is the distance between the base of the ladder and the house. Find the rate r when x is feet. A)
ft/secB)
ft/secC)
D)
ft/secE)
ft/sec سؤال
Find the vertical asymptotes (if any) of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Find all the vertical asymptotes (if any) of the graph of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Find all vertical asymptotes (if any) of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Find the limit. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
A petrol car is parked 
feet from a long warehouse (see figure). The revolving light on top of the car turns at a rate of 
revolution per second. The rate at which the light beam moves along the wall is 
. Find the limit of r as 
. 
A)
B)
C)
D) 65
E)
feet from a long warehouse (see figure). The revolving light on top of the car turns at a rate of revolution per second. The rate at which the light beam moves along the wall is . Find the limit of r as . A)
B)
C)
D) 65
E)
سؤال
Find the limit. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the vertical asymptotes (if any) of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Find the following limit if it exists: 
. Use 
when appropriate.
A)
B)
C)
D)
E)
. Use when appropriate.A)
B)
C)
D)
E)
سؤال
Find the limit (if it exists). 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the limit. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
A 25-foot ladder is leaning against a house (see figure). If the base of the ladder is pulled away from the house at a rate of 2 feet per second, the top will move down the wall at a rate of 
where x is the distance between the base of the ladder and the house. Find the limit of r as 
. 
A)
B)
C)
D)
E)
where x is the distance between the base of the ladder and the house. Find the limit of r as . A)
B)
C)
D)
E)
سؤال
Find all the vertical asymptotes (if any) of the graph of the function 
A)
B)
C)
D)
E) no vertical asymptotes
A)
B)
C)
D)
E) no vertical asymptotes
سؤال
Use a graphing utility to graph the function 
and determine the one-sided limit 
.
A)
B)
C) 0
D)
E) 8
and determine the one-sided limit .A)
B)
C) 0
D)
E) 8
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العب
ملء الشاشة (f)
Deck 2: Section 5 : Limits and Their Properties
1
Use a graphing utility to graph the function and determine the following one-sided limit.
A)
B)
C)
D)
E)
and determine the following one-sided limit. A)
B)
C)
D)
E)
2
Determine whether approaches or as x approaches from the left and from the right by completing the tables below. -3.1 -3.01
-3)001 -2.999
-2)99
-2)9
-2)5
A)
B)
C)
D)
approaches or as x approaches from the left and from the right by completing the tables below. -3.1 -3.01-3)001
-2.999-2)99
-2)9
-2)5
A)
B)
C)
D)
3
A petrol car is parked feet from a long warehouse (see figure). The revolving light on top of the car turns at a rate of revolution per second. The rate at which the light beam moves along the wall is . Find the rate when is .
A)
B)
C)
D)
E)
feet from a long warehouse (see figure). The revolving light on top of the car turns at a rate of revolution per second. The rate at which the light beam moves along the wall is . Find the rate when is . A)
B)
C)
D)
E)
4
Find all the vertical asymptotes (if any) of the graph of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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5
A -foot ladder is leaning against a house (see figure). If the base of the ladder is pulled away from the house at a rate of 2 feet per second, the top will move down the wall at a rate of , where x is the distance between the base of the ladder and the house. Find the rate r when x is feet.
A) ft/sec
B) ft/sec
C)
D) ft/sec
E) ft/sec
-foot ladder is leaning against a house (see figure). If the base of the ladder is pulled away from the house at a rate of 2 feet per second, the top will move down the wall at a rate of , where x is the distance between the base of the ladder and the house. Find the rate r when x is feet. A)
ft/secB)
ft/secC)
D)
ft/secE)
ft/sec فتح الحزمة
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6
Find the vertical asymptotes (if any) of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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7
Find all the vertical asymptotes (if any) of the graph of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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8
Find all vertical asymptotes (if any) of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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9
Find the limit.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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10
A petrol car is parked feet from a long warehouse (see figure). The revolving light on top of the car turns at a rate of revolution per second. The rate at which the light beam moves along the wall is . Find the limit of r as .
A)
B)
C)
D) 65
E)
feet from a long warehouse (see figure). The revolving light on top of the car turns at a rate of revolution per second. The rate at which the light beam moves along the wall is . Find the limit of r as . A)
B)
C)
D) 65
E)
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11
Find the limit.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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12
Find the vertical asymptotes (if any) of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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13
Find the following limit if it exists: . Use when appropriate.
A)
B)
C)
D)
E)
. Use when appropriate.A)
B)
C)
D)
E)
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14
Find the limit (if it exists).
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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15
Find the limit.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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16
A 25-foot ladder is leaning against a house (see figure). If the base of the ladder is pulled away from the house at a rate of 2 feet per second, the top will move down the wall at a rate of where x is the distance between the base of the ladder and the house. Find the limit of r as .
A)
B)
C)
D)
E)
where x is the distance between the base of the ladder and the house. Find the limit of r as . A)
B)
C)
D)
E)
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17
Find all the vertical asymptotes (if any) of the graph of the function
A)
B)
C)
D)
E) no vertical asymptotes
A)
B)
C)
D)
E) no vertical asymptotes
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18
Use a graphing utility to graph the function and determine the one-sided limit .
A)
B)
C) 0
D)
E) 8
and determine the one-sided limit .A)
B)
C) 0
D)
E) 8
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