# Removable Discontinuity

A discontinuity is removable at a point x = a if the exists and this limit is finite.

There are two types of removable discontinuities:

1. **The function is undefined at x = a.**

2. **The value of the function at x = a does not match the limit.**

When a function has a removable discontinuity, it can be redefined to make it a continuous function.

The two functions previously studied can be redefined such that: