# Making discontinues function, continues.

burak100
making discontinues function, continues.!!

## Homework Statement

Given a function g, which is not continuous everywhere and g is increasing. The problem is how to approach to this function to make it continuous.

## The Attempt at a Solution

I am not sure but one way maybe using average value but the problem is; to use the average value, g should be continuous.

$$h(x) = \int_{x - \epsilon}^{x+\epsilon} g(y) dy$$