- #1

gateman234

- 11

- 0

## Homework Statement

Lim [x^2*y^3/(x^4 + y^4)]

(x,y)->(0,0)

Find the limit or prove it doesn't exist

## Homework Equations

## 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.