Similarly, approaching along the y-axis yields a limit equal to 0. since these two limits are the same, we will examine another approach path. approach (0, 0) along the curve y = x2. when x is positive, we have lim (x, y) → (0, 0) xy x2 + y2 = lim x → 0 x 3 correct: your answer is correct. x2 + x4 = lim x → 0 x2 incorrect: your answer is incorrect. when x is negative, we have lim (x, y) → (0, 0) xy x2 + y2 = lim x → 0 x 3 correct: your answer is correct. x2 + x4 = lim x → 0 x2 − incorrect: your answer is incorrect.