# What are the removable and non-removable discontinuities, if any, of #f(x)=abs(x-9)/ (x-9)#?

##### 1 Answer

Jan 10, 2016

There's a non-removable discontinuity in

#### Explanation:

Since we can't divide by

It might look it's removable because the numerator has

But, if you look at what happens before and after

For

For

So the graph still has a discontinuity, because the limit at