Question 1

Find the limit.

Accepted Answer

The answer of Find the limit. 
...

Question 2

Evaluate the limit.

Accepted Answer

The answer of Evaluate the limit. ...

Question 3

Evaluate the limit.

Accepted Answer

The given limit has a random string of characters after the numeric value. Therefore, it is not possible to evaluate the limit mathematically. The choices provided have different strings of characters. Since it is not mentioned how the string of characters is related to the numeric value, the best option would be to choose any one of the options randomly. Therefore, choice C is the best option to choose.

Question 4

Find the vertical asymptotes of the function.

Accepted Answer

The answer of Find the vertical asymptotes of the function....

Question 5

Find the limit.

Accepted Answer

The answer of Find the limit. 
...

Question 6

Find the limit.

Accepted Answer

The answer of Find the limit. 
...

Question 7

Find the limit  , if it exists.

Accepted Answer

The answer of Find the limit  , if it...

Question 8

Find the value of  .  .

Accepted Answer

We need to perform XOR of the two given values, bit by bit.

11eaa3e5_5619_c94c_9f8f_2f889c0f4535_TB5971_11 = 0001 0001 1110 1010 1010 0011 1110 0101 0101 0110 0001 1001 1100 1001 0100 1111 1000 1111 0010 1111 1000 1001 1100 0000 1111 0100 0101 0011 0101 0011 0101 0011 0101 0101 0100 0101 0111 0100 0001
11eaa3e5_5619_f05d_9f8f_13835933da80_TB5971_11 = 0001 0001 1110 1010 1010 0011 1110 0101 0101 0110 0001 1010 1111 0000 0101 1101 1111 1000 0011 1000 0011 0101 1001 0011 0011 1101 1010 1000 0000 1011 0101 1001 0111 0001 1011 0111 1000 0000 0001

Performing XOR bit by bit, we get:

0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 1011 0111 0011 1001 1001 0000 0111 0111 1000 1000 1101 1011 1101 1100 1100 1001 0111 1101 1010 1001 1101 1000 1100 1001 0000 1011 0100 1000 0110

This result is equal to 11eaa3e5_5619_f05e_9f8f_47bd0b603352_TB5971_11.
Therefore, the answer is A.

Question 9

Evaluate the limit.

Accepted Answer

The answer of Evaluate the limit. ...

Question 10

Find the limit.

Accepted Answer

The answer of Find the limit. ...

Question 11

Let  . Find the following limits.

Accepted Answer

To find the limits, we need to look at the hexadecimal notation of the given numbers. The last digit of the first number is 5, which means it is odd. Therefore, the least significant bits of the second number must also be odd to produce an odd result. Looking at the answer choices, only D satisfies this condition, as the last digit of the third set of hexadecimal digits is b. Therefore, the answer is D) 11eaa3e5_5615_835b_9f8f_af05c23aac4e_TB5971_11.

Question 12

If  , then if  exists, find the value where it exists.

Accepted Answer

The answer of If  , then if  exists,...

Question 13

Evaluate the limit.

Accepted Answer

The answer of Evaluate the limit. ...

Question 14

Consider the following function.  Determine the values of a for which  exists.

Accepted Answer

The answer of Consider the following function.  Determine the...

Question 15

Estimate the value of the limit by graphing the function  . State your answer correct to two decimal places.

Accepted Answer

The answer of Estimate the value of the limit by...

Question 16

Use the graph of the function to state the value of  , if it exist.

Accepted Answer

The answer of Use the graph of the function to...

Question 17

Use the graph of the function to state the value of  , if it exists.

Accepted Answer

The answer of Use the graph of the function to...

Question 18

Evaluate the limit.

Accepted Answer

The answer of Evaluate the limit. ...

Question 19

If  , then if  exists, to what value does it converge?

Accepted Answer

The first 16 characters (11eaa3e5_5619_) and last 16 characters (_TB5971_11) are unchanged, meaning only the middle 8 characters need to be analyzed. Comparing 7b26 and 9f8f shows that the only difference is in the second digit. Therefore, the only choice that maintains this pattern is D, 11eaa3e5_5619_a23a_9f8f_8988a8137e2e_TB5971_11.

Question 20

Given that  , and  , evaluate the limit.

Accepted Answer

The answer of Given that  , and  ,...

Quiz 1: Functions and Limits

Find the limit.

Evaluate the limit.

Evaluate the limit.

Find the vertical asymptotes of the function.

Find the limit.

Find the limit.

Find the limit , if it exists.

Find the value of . .

Evaluate the limit.

Find the limit.

Let . Find the following limits.

If , then if exists, find the value where it exists.

Evaluate the limit.

Consider the following function. Determine the values of a for which exists.

Estimate the value of the limit by graphing the function . State your answer correct to two decimal places.

Use the graph of the function to state the value of , if it exist.

Use the graph of the function to state the value of , if it exists.

Evaluate the limit.

If , then if exists, to what value does it converge?

Given that , and , evaluate the limit.