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

Use the two path test to prove that the following limits do not exist.

2. Relevant equations

[tex]\lim_{(x,y)\rightarrow{(0,0)}}\frac{4xy}{3x^2+y^2}[/tex]

3. The attempt at a solution

The book that I am using introduces the Two Path Test theoretically but does not show an example of how to do it, so I am a bit lost.

Would I set x = y, and x = -y? In some of the more basic problems I was able to set x = 0 and y = 0, and find the limits would differ, proving that there was no limit. But in this case, that's obviously not possible.

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# Two Path Test

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