Removable Discontinuity

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

There are two types of removable discontinuities:

1. The function is undefined at x = a.

imagen

función discontinua

función discontinua

límite

imagen

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

2

función discontinua

imagen

imagen

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:

Condiciones

Función

gráfica