Epsilon delta proof, 3-space help

georgeh
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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.
 
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What's the problem? What have you tried?
 
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.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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