Deck 13: A Preview of Calculus: the Limit, Derivative, and Integral of a Function

Question 1

Use the TABLE feature of a graphing utility to find the limit.

Answer 1

B

Question 2

Use the TABLE feature of a graphing utility to find the limit.

Answer 2

B

Question 3

Use the TABLE feature of a graphing utility to find the limit.

Answer 3

C

Question 4

Use the graph shown to determine if the limit exists. If it does, find its value.

A) 1
B) -1
C) 4
D) does not exist

Question 5

Use the TABLE feature of a graphing utility to find the limit.

Question 6

Use the TABLE feature of a graphing utility to find the limit.

Question 7

Use the grid to graph the function. Find the limit, if it exists

A) 1
B) -2
C) -8
D) does not exist

Question 8

Use the graph shown to determine if the limit exists. If it does, find its value.

Question 9

Find the limit algebraically.

Question 10

Use the grid to graph the function. Find the limit, if it exists

A) -2
B) -6
C) -8
D) does not exist

Question 11

Find the limit algebraically.

Question 12

Use the graph shown to determine if the limit exists. If it does, find its value.

A) 0
B) 1
C) 2
D) does not exist

Question 13

Use the grid to graph the function. Find the limit, if it exists

A) -1
B) 3
C) -2
D) does not exist

Question 14

Use the TABLE feature of a graphing utility to find the limit.

Question 15

Use the grid to graph the function. Find the limit, if it exists

A) 12
B) 11
C) 2
D) does not exist

Question 16

Use the graph shown to determine if the limit exists. If it does, find its value.

A) 4
B) 3
C) 5
D) does not exist

Question 17

Use the grid to graph the function. Find the limit, if it exists

A) 0
B) 1
C) 5
D) does not exist

Question 18

Use the grid to graph the function. Find the limit, if it exists

A) -5
B) 1
C) 5
D) does not exist

Question 19

Use a graphing utility to find the indicated limit rounded to two decimal places.

Question 20

Find the limit algebraically.

Question 21

Find the limit algebraically.

Question 22

Find the limit algebraically.

Question 23

Find the limit algebraically.

Question 24

Find the limit algebraically.

Question 25

Find the limit algebraically.

Question 26

Find the limit algebraically.

Question 27

Find the limit algebraically.

Question 28

Find the limit algebraically.

Question 29

Find the limit algebraically.

Question 30

Find the limit algebraically.

Question 31

Find the limit algebraically.

Question 32

Find the limit algebraically.

Question 33

Find the limit algebraically.

Question 34

Find the limit algebraically.

Question 35

Find the limit algebraically.

Question 36

Find the limit algebraically.

Question 37

Find the limit algebraically.

Question 38

Find the limit algebraically.

Question 39

Find the limit algebraically.

Question 40

Find the limit algebraically.

Question 41

Use the graph of y = g(x) to answer the question.

Question 42

Find the limit as x approaches c of the average rate of change of the function from c to x.

Question 43

Find the limit algebraically.

Question 44

Find the limit algebraically.

Question 45

Find the one-sided limit.

Question 46

Find the limit algebraically.

Question 47

Use the graph of y = g(x) to answer the question.

Question 48

Find the limit as x approaches c of the average rate of change of the function from c to x.

Question 49

Find the limit as x approaches c of the average rate of change of the function from c to x.

Question 50

Use the graph of y = g(x) to answer the question.

Question 51

Use the graph of y = g(x) to answer the question.

Question 52

Use the graph of y = g(x) to answer the question.

Question 53

Use the graph of y = g(x) to answer the question.

Question 54

Use the graph of y = g(x) to answer the question.

Question 55

Find the limit as x approaches c of the average rate of change of the function from c to x.

Question 56

Find the limit algebraically.

Question 57

Use the graph of y = g(x) to answer the question.

Question 58

Find the limit as x approaches c of the average rate of change of the function from c to x.

Question 59

Find the limit as x approaches c of the average rate of change of the function from c to x.

Question 60

Use the graph of y = g(x) to answer the question.

Question 61

Determine whether f is continuous at c.

Question 62

Find the one-sided limit.

Question 63

Find the one-sided limit.

Question 64

Determine whether f is continuous at c.

Question 65

Determine whether f is continuous at c.

Question 66

Determine whether f is continuous at c.

Question 67

Determine whether f is continuous at c.

Question 68

Determine whether f is continuous at c.

Question 69

Determine whether f is continuous at c.

Question 70

Determine whether f is continuous at c.

Question 71

Determine whether f is continuous at c.

Question 72

Find the one-sided limit.

Question 73

Determine whether f is continuous at c.

Question 74

Find the one-sided limit.

Question 75

Determine whether f is continuous at c.

Question 76

Determine whether f is continuous at c.

Question 77

Determine whether f is continuous at c.

Question 78

Find the one-sided limit.

Question 79

Determine whether f is continuous at c.

Question 80

Find the one-sided limit.