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

http://i.imgur.com/F6qLL.jpg

In the example, it says if the approaching path of the limit is y=x^2 and x=y^2, the limits are 0. I can see the limit is 0 for approaching in the path of x=y^2 since the function becomes f(x,y) becomes f(y^2,y)=3y^5/(y^4+y^2) [itex]\rightarrow[/itex] 0 as (y^2,y) [itex]\rightarrow[/itex] 0.

But doing the same for the path of y=x^2, I get f(x,x^2)=3x^2*x^2/(x^2+x^4)=3x^4/(x^2+x^4) which [itex]\rightarrow[/itex] 3 as (x,x^2) [itex]\rightarrow[/itex] 0. What am I doing wrong?

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# Homework Help: Limits of 2 var functions approaching paths of parabolas

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