Homework Help: 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 $$0<\sqrt{(x-x_0)^2+(y-y_0)^2}<\delta$$.