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.
