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Write an equation for each vertical asymptote ...

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http://imgur.com/5G22pte   <---link

For the function f whose graph is shown, give the value of each quantity, if it exists. If the limiting behavior is ∞ or −∞, so state. If the limit does not exist, write DNE.

lim x→−3 f(x) 

lim x→3 f(x)

lim x→−2 f(x)

Write an equation for each vertical asymptote of the curve y= f(x). 

asked Jan 27, 2015 in CALCULUS by anonymous

2 Answers

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Step 1:

Observe the graph of the function:

image

We can observe from the graph that  image exists.

As tends to image from the left hand side, tends to image.

As tends to image from the right hand side, tends to image.

Since the left hand limit and right hand limit are equal,

image

Solution:

image .

answered Jan 27, 2015 by yamin_math Mentor
0 votes

(3)

Step 1:

Observe the graph of the function:

image

We can observe from the graph that image does not exists.

As tends to image from the left hand side, tends to image.

As tends to image from the right hand side, tends to image.

Since the left hand limit and right hand limit are not equal,

Limit does not exist at .

does not exist.

Solution:

does not exist.

answered Jan 27, 2015 by yamin_math Mentor

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