# Epsilon delta proof, 3-space help

1. Apr 6, 2006

### georgeh

I am trying to show that a certain function, f(x) has a limit that approaches 1. Does anyone have any sites i can look at for epsilon delta proof for 3-space? I've saw the ones for two space, but they aren't really helping me out in this pickle..
thanks.

2. Apr 6, 2006

### Tom Mattson

Staff Emeritus
What's the problem? What have you tried?

3. Apr 6, 2006

### Jameson

I think this is the one you're looking for.

$$\lim_{(x,y)\rightarrow(x_0,y_0)}f(x,y)=L$$ if for each $\epsilon$>0 there corresponds a $\delta$>0 such that $$|f(x,y)-L|<\epsilon$$ whenever $$0<\sqrt{(x-x_0)^2+(y-y_0)^2}<\delta$$.