Find the limit LIM (x, y) → (0,0) x ^ 2Y ^ 2 / (x ^ 2 + y ^ 2) ^ (3 / 2) With the pinch theorem, why can't we use x ^ 2 + y ^ 2 > 2XY

Find the limit LIM (x, y) → (0,0) x ^ 2Y ^ 2 / (x ^ 2 + y ^ 2) ^ (3 / 2) With the pinch theorem, why can't we use x ^ 2 + y ^ 2 > 2XY

X = rcost, y = rsint; the original formula = R ^ 4 * (sin2t) ^ 2 / 4 / R ^ 3 = R (sin2t) / 4 - > 0