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

Question

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)

Answer 1

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 .

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.