Determine whether the limit lim(x,y)→(0,0)x2yx2+y2\lim_{(x,y) \to (0,0)} \frac{x^2 y}{x^2 + y^2}lim(x,y)→(0,0)x2+y2x2y exists, and if so, find its value.
Yes, the limit is 000
Yes, the limit is 111
No, the limit does not exist
Yes, the limit is 12\frac{1}{2}21