(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

f(1/u,0)=1 and f(0,1/u)=-1 for all positive (integer) values of u. Prove whether or not the limit as (x,y) ->(0,0) exists.

2. Relevant equations

none.

3. The attempt at a solution

I argue that 0,0 is not in the domain of the function, but this neglects the behavior of f(x,y). So I feel like I'm missing a clue. It seems similar to the binary function: f(x)=-1 when x>0 and f(x)=-1 when x<0. But I'm unsure how to solve and prove the limit.

Edit:[ok, I'm saying that if (1/u) were to equal 0, then n would end up being infinity (not a positive integer), but again, this doesn't account for the -1/1 values of f(x,y)]

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# Homework Help: Finding a Limit in two variables

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