Epsilon-delta for a continuous function

1. Nov 26, 2005

Nusc

The function f is continuous at a E R.

Let f:D->R and D be a subset of R.
The function f is continuous at a E D if for every epsilon > 0 there exists a delta > 0 so that if |x-a|< delta and x E D then: |f(x)-f(a)|< epsilon.

Can someone check this for me?

2. Nov 26, 2005

math-chick_41

that looks like the definition of continuity, is that all you wanted to know?

3. Nov 26, 2005

AKG

Yes, that's right.