How do you show that this limit doesn't exist? – math.stackexchange.com

How do you show that this limit doesn't exist? – math.stackexchange.com

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I have to prove that this limit doesn't exist. $$\lim_{(x,y)\to(0,0)} \frac{xy}{x^2+y}$$ I tried this parametrization: $\begin{cases} x = t \\ y = mt^\alpha\end{cases}$ obtaining as result that the ...

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