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Calculus, 8th Edition,stewart; page 60 problem 13

0 votes

Use the graph of the function f to state the value of each limit, if it exits. If it does not exist, explain way.

f (x) = 1/(1 + 21/x)

asked Aug 5, 2015 in CALCULUS by anonymous

1 Answer

0 votes

Step:1

The function is .

Graph :

Graph of the function  :

Step:2

(a)

Find .

Observe the above graph.

As  tends to  from left side,  approaches to 1.

So .

Step:3

(b)

Find .

Observe the above graph.

As  tends to  from right side,  approaches to .

So .

Step:4

(c)

Find .

Left hand limit .

Right hand limit .

Left hand limit and right hand limit are not equal,  does not exist.

 does not exist.

Solution:

(a) .

(b) .

(c)  does not exist.

answered Aug 5, 2015 by Shalom Scholar

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