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

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

Let a, b 0. Show that and that the limit does not exist if a +

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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.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 16, 2024 09:00 AM

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Let a, b 0. Show that and that the limit does not exist if a +

Question:

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

Step by Step Answer:

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

Calculus

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