# 1. Suppose that g is the function given by the graph below. Use the graph to fill in the blanks in the following sentences.

1. Suppose that g is the function given by the graph below. Use the graph to fill in the blanks in the following sentences.

- As x gets closer and closer (but not equal) to −1, g(x) gets as close as we want to.
- As x gets closer and closer (but not equal) to 0, g(x) gets as close as we want to.
- As x gets closer and closer (but not equal) to 2, g(x) gets as close as we want to.

2. Fill in the table and guess the value of the limit:

3. Evaluate the limit, if it exists. If not, enter DNE

x → 0:

x → 2:

4. Use the following graph to find limits(Enter DNE if the limit does not exist).

x → −2:

x → 0:

x → 3:

x → 5:

5. Evaluate the limit

Enter I for ∞, -I for −∞, and DNE if the limit does not exist

6. Use the following graph to find limits(Enter DNE if the limit does not exist).

x → −5:

x → −3:

7. Let F be the function below.

Evaluate each of the following expressions:

Evaluate each of the following expressions:

a) lim

x→−1−

F(x) = help (limits)

b) lim

x→−1+

F(x) =

c) lim

x→−1

F(x) =

d) F(−1) =

e) lim

x→1−

F(x) =

f) lim

x→1+

F(x) =

g) lim

x→1

F(x) =

h) lim

x→3

F(x) =

i) F(3) =

8. Use the following graph to find limits (Enter DNE if the limit does not exist).

x → −2:

x → 0:

x → 3:

x → 5:

9. Consider the function y = f(x) with the graph below. (Click on graph to enlarge)

What are the following limits? If the limit does not exist, type DNE.

yha pr bhi

10. Consider the function f(x) = −4

Compute the indicated limits. Use INF for infinity, if necessary. If the limit does not exist, enter DNE.

lim

x→2+

f(x) =

lim

x→2−

f(x) =

lim

x→2

f(x) =

11. Consider the function f(x) = −1 x−2

Compute the indicated limits. Use INF for infinity, if necessary. If the limit does not exist, enter DNE.

lim

x→2+

f(x) =

lim

x→2−

f(x) =

lim

x→2

f(x) =

12. Compute the limit. Enter INF for infinity.

13. George bra web code Move the points A, B and C to construct the

graph of the function below.

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