# How do you prove that #lim_(x->1)1/(x-1)# doesnot exist using limit definition?

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How do you prove that #lim_(x->1)1/(x-1)# doesnot exist using limit definition?

How do you prove that

##### 1 Answer

May 13, 2018

You approach the limit from both sides.

#### Explanation:

(1)

As

(2)

As

This means there is **not one limit.**

graph{1/(x-1) [-12.66, 12.65, -6.33, 6.33]}