# Calculus Analytic Geometry Assignment

**Calculus Analytic Geometry Assignment**

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

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- 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.Calculus Analytic Geometry Assignment

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).

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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:Calculus Analytic Geometry Assignment

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.Calculus Analytic Geometry Assignment

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.

Calculus Analytic Geometry Assignment

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