1. The problem statement, all variables and given/known data Find the limit as (x,y) approaches (0,0): 2. Relevant equations x^2/(x+y) 3. The attempt at a solution I have tried replacing y with 0, mx, x^2, etc. (and likewise with x), and all give me a limit of zero. So I tried to think of ways I could use the definition of a limit, squeeze theorem, L'Hopital's rule, etc. to prove it, but there does not appear to be a way. I'm starting to think that a limit might not even exist. Is there something elementary I'm overlooking?