$ \lim_{(x,y)\to(0,0)}{\frac{x^2y}{x^2+y^2}} $
If you substitute in $(0,0)$ for $x$ and $y$. It becomes $ \frac{0}{0} $ usually you would apply the L'Hopital's rule. However, I think it is not possible with the multivariable equation.
If I cannot apply the L'Hopital's rule here, what should be my first step in solving this limit?