How to find the limit of LIM x ^ 2Y ^ 2 / x ^ 2Y ^ 2 + (X-Y) ^ 2 lim x^2y^2/x^2y^2+(x-y)^2 (x,y)-(0,0) How to find the limit

How to find the limit of LIM x ^ 2Y ^ 2 / x ^ 2Y ^ 2 + (X-Y) ^ 2 lim x^2y^2/x^2y^2+(x-y)^2 (x,y)-(0,0) How to find the limit

Your formula is not standard
If Lim {x ^ 2 * y ^ 2 / [x ^ 2 * y ^ 2 + (X-Y) ^ 2]}, the limit does not exist when (x, y) approaches (0,0)
Let y = k * x, that is, y and X are linear
The original formula is Lim {x ^ 2 * (k * x) ^ 2 / [x ^ 2 * (k * x) ^ 2 + (x-k * x) ^ 2]} = Lim {1 / [1 + (1-k) ^ 2 / x ^ 2]}