(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Compute the following limit with the epsilon-delta method

lim(x,y)->(0,0) of (x**3-y**3) / (x**2+y**2)

2. Relevant equations

3. The attempt at a solution

I don't remember much about the epsilon-delta method and I haven't used it for multivariable limits. I tried abs( f(x) ) <= abs(x**3)/(x**2+y**2) - abs(y**3)/(x**2+y**2) and then abs(x**3)/(x**2+y**2) <= abs(x**3)/x**2 = abs(x) and I did the same for y. Am I even going in the right direction and if so how would I finish this up?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Solve this multivariable limit using epsilon-delta methods

**Physics Forums | Science Articles, Homework Help, Discussion**