Question: Let ((x, y) = xy x2 - y2 / x2 + y2 if (x, y) ( (0, 0) and ((0, 0) = 0. Show that

Let ((x, y) = xy x2 - y2 / x2 + y2 if (x, y) ( (0, 0) and ((0, 0) = 0.
Show that (xy(0, 0) ( (yx(0, 0) by completing the following steps:
(a) Show that

For all y.
(b) Similarly, show that (y(x, 0) = x for all x.
(c) Show that

(d) Similarly, show that (xy(0, 0) = -1.

0,0) -i 0. 0)-im+ ,0) (0.0)

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