1. The problem statement, all variables and given/known data the limit as x,y go to 0,0 of (x^2*(sin(y))^2) / (x^2 + 2y^2) 3. The attempt at a solution I can see that the limit goes to 0 when x=y, and when y=0 the limit goes to 1. Is this proof that the limit does not exist? I'm trying to work ahead and learn straight from the book and I'm having difficulty with these types of limits. Any hints on how to approach this type of problem? Thanks.