I need a hand with an exercise, it asks me to study the continuity of the following function for each value of "a" (sorry I don't know how to use LaTex!):
f(x,y) = (x^2 * e^x) / [y * e^(y^2)], if y != 0
f(x,y) = a, if y = 0
Basically I don't how to solve the limit for y -> 0
Thanks in advance.