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Let F be the function below.

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Evaluate each of the following expressions.

Note: Enter 'DNE' if the limit does not exist or is not defined.

a) limx1F(x)limx→−1−F(x) = 

b) limx1+F(x)limx→−1+F(x) = 

c) limx1F(x)limx→−1F(x) = 

d) F(1)F(−1) = 

e) limx1F(x)limx→1−F(x) = 

f) limx1+F(x)limx→1+F(x) = 

g) limx1F(x)limx→1F(x) = 

h) limx3F(x)limx→3F(x) = 

i) F(3)F(3) 

 

Evaluate each expression using the given graph of f(x)f(x).
Enter DNE if the limit or value does not exist.

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Use the given graph of the function ff to find the following limits. If a limit does not exist, type "DNE".

 

Evaluate the following limits:

 

 

Find the vertical asymptotes of the function y=xx2x2y=xx2−x−2.

x=x=  . Separate multiple answers with commas.

 

 

Use the graph of the function f(x)=1/(1+e1/x)f(x)=1/(1+e1/x) to state the value of each limit.
If it does not exist, enter "n" below. If the answer is infinite, use "i" to represent infinity.
(a) limx0f(x)limx→0−f(x)
(b) limx0+f(x)limx→0+f(x)
(c) limx0f(x)

 

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