Question: Let a, b 0. Show that and that the limit does not exist if a + b 2. xyb lim (x,y) (0,0) x

Let a, b ≥ 0. Show that xyb lim (x,y) (0,0) x + y = 0 if a + b > 2 and that the limit does not exist if a + b ≤ 2.

xyb lim (x,y) (0,0) x + y = 0 if a + b> 2

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We first show that the limit is zero if a b 2 We compute the limit using the polar coordinates x r c... View full answer

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