Two variable limit

gateman234

Homework Statement

Lim [x^2*y^3/(x^4 + y^4)]
(x,y)->(0,0)
Find the limit or prove it doesn't exist

The Attempt at a Solution

Tried considering the limit along the line x=y, and y=x^2, but couldn't show there where different vaules of limit for different curves. Then i graphed it, and it looked like the limit exists.
Attempted proof.
|x^2 y^3/(x^4 + y^4) - 0| < E
0< sqrt(x^2 + y^2)< d
this is where I am stuck at.