# What are the removable and non-removable discontinuities, if any, of #f(x)=2/(x+1)#?

##### 1 Answer

Apr 2, 2016

There is a non-removable discontinuity when

#### Explanation:

The only discontinuity you can have with a quotient of continuous functions is when the denominator is

In your case, when

If you want to know if the discontinuity is removable, you can just compute the limit and see if it exists :

Therefore, it is not removable.