Does the limit lim(x,y)→(0,0)x2yx4+y2\displaystyle\lim_{(x,y) \to (0,0)} \frac{x^2 y}{x^4 + y^2}(x,y)→(0,0)limx4+y2x2y exist?
Yes, the limit equals 0
Yes, the limit equals 12\frac{1}{2}21
No, the limit does not exist
The limit exists but equals ∞\infty∞