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Math Help - Limit of a Multivariable function

  1. #1
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    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...
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by skirk34 View Post
    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
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