# Epsilon - delta proof?

1. Feb 10, 2008

### Mattofix

1. The problem statement, all variables and given/known data

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.

3. The attempt at a solution

2. Feb 10, 2008

### SNOOTCHIEBOOCHEE

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