- #1

mathie_geek

- 10

- 0

## Homework Statement

I need to prove a limit does not exist for f(x,y) as (x,y) -> (0,0). I already tried approaching from y=mx and I got the limit 0.

## Homework Equations

f(x,y) = ((|x|^a)(|y|^b))/((|x|^c)+(|y|^d)) where a,b,c,d are positive numbers and a/c+b/d ≤

1

## The Attempt at a Solution

I got limit = 0 approached from y=mx.

I can't use Squeez Theorem either. How should I approach this question? Just a hint would be good. Thanks!

edit: Sorry, missed a + sign in the denominator!

Last edited: