The limit LIM (x ^ 2Y ^ 2) / x ^ 2 + y ^ 2 + (X-Y) ^ 2 (x, y) tends to 0

The limit LIM (x ^ 2Y ^ 2) / x ^ 2 + y ^ 2 + (X-Y) ^ 2 (x, y) tends to 0

Let the line y = KX approach the origin, then LIM (x ^ 2 * y ^ 2) / [x ^ 2 + y ^ 2 + (x - y) ^ 2] = LIM (k ^ 2 * x ^ 4) / [x ^ 2 + K ^ 2 * x ^ 2 + (k - 1) ^ 2 * x ^ 2] = Lim K ^ 2 * x ^ 2 / [1 + K ^ 2 + (k - 1) ^ 2] = Lim K ^ 2 * 0 ^ 2 / [1 + K ^ 2 + (k - 1) ^ 2]