Hi guys, I'm new to this forum, I am a mechanical engineering student, I am actually taking Multi-variable Calculus (Calculus III, on my college) this semester and I'm having a lot of trouble proving the limit of a multivariable equation using the epsilon-delta technique.(adsbygoogle = window.adsbygoogle || []).push({});

Example:

lim (3xy^2)/(x^2+y^2) x->(0,0)

I don't even understand what is about, I look the limit of the equation along x and y axis y=mx and y=x^2 and found L=0 but how do I prove it is really 0.

The book show something about epsilo-delta technique but say's nothing about how using this technique, it look kind of random.

Thanks a lot Link-

PS. Sorry for my english, im not a good english speaker or writter but at always I do my best

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

Dismiss Notice

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!

# Multi-variable limit using epsilon-delta technique

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