# Question #f7807

##### 1 Answer

Feb 14, 2017

See below.

#### Explanation:

In terms of the definition of "continuous at

If

but

and if

In terms of the graph:

A removable discontinuity occurs if the is a hole in the graph at

A non-removable discontinuity occurs if there is a jump (finite or infinite) or if the limit fails to exist for any other reason.

("Other" reasons include