# 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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