Question

m+n>2 , |k|<1, lim┬((x,y)→(0,0)) (x^m y^n)/(x^2+2kxy+y^2)
what is the answer of this lim?

Answer 1

you need to evaluate different paths to see if they give rise to the same results or convert it over to polar. Different results implies divergence but 3 or 4 of the same does not imply convergence.