# Epsilon - delta proof?

## Homework Statement

i have a couple of questions to anser and they start 'Give epsilon - delta proofs that the following functions are continuous at the indicated points.'

im guessing its not going to be too hard but what is the name of this epsilon - delta proof so i can search for and learn about it.

## The Attempt at a Solution

Related Calculus and Beyond Homework Help News on Phys.org
It is just one of the definitions of Continuity.

A fuction f is continuous at Xo if

For each $$\epsilon > 0$$ there exists $$\delta$$ such that

|X-Xo|<$$\delta$$ Implies |f(X)-f(Xo)|<$$\epsilon$$

For all X,Xo belonging to Domain of f