# How can you remove a discontinuity?

##### 1 Answer

Mar 11, 2018

#### Answer:

Please see below.

#### Explanation:

A discontinuity at

But

We "remove" the discontinuity by defining a new function, say

by

We now have

**Example**

But

# = lim_(xrarr1) (x+1) = 2#

So we remove the discontinuity by defining: