1. The problem statement, all variables and given/known data (Q) By considering different paths of approach, show that the limit of the following function does not exist: lim┬((x,y)→(0,0))〖y/(x^2-y)〗 2. Relevant equations y=kx^2 substitution. 3. The attempt at a solution After substituting, the functions becomes k/(1-k^2). thus, when we consider different paths of approach, (i.e.) when k takes different values, the value of the limit will be different and hence, the limit does not exist. Can someone please tell me if I'm doing it right? Thanks a ton!!