Use polar coordinates to find the limit.

[Hint:Let x = r cos θ and y = r sin θ, and note that (x, y)→(0, 0) implies r→0.]

lim_(x ,y)→(0, 0) xy² / x²+y²

Use polar coordinates to find the limit.

[Hint:Let x = r cos θ and y = r sin θ, and note that (x, y)→(0, 0) implies r→0.]

lim_(x ,y)→(0, 0) xy² / x²+y²