# Math Help - Limit of a Multivariable function

1. ## Limit of a Multivariable function

Could anyone help me how to prove whether or not the following limit exists?

f(x,y)=(x^3-xy^2)/(x^2-y^2) as (x,y)->(0,0)

Edit: Why cant i see how simple it is, i guess its just practice...

2. Originally Posted by skirk34
Could anyone help me how to prove whether or not the following limit exists?

f(x,y)=(x^3-xy^2)/(x^2-y^2) as (x,y)->(0,0)

$\lim_{(x,y)\to{(0,0)}}\frac{x^3-xy^2}{x^2-y^2}=\lim_{(x,y)\to{(0,0)}}\frac{x(x^2-y^2)}{x^2-y^2}=\lim_{(x,y)\to{(0,0)}}x$

Take it from here.

--Chris