Compute the iterated limits at (0, 0) of each of the following functions. Determine which of these

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Compute the iterated limits at (0, 0) of each of the following functions. Determine which of these functions has a limit as (x, y) (0, 0) in R2, and prove that the limit exists.
a)

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 04:14 AM

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Compute the iterated limits at (0, 0) of each of the following functions. Determine which of these

Question:

sin x sin y f(x, y) = x2+2y4 r- y f(x, y) = (x2 + y2)α, α < 2

Step by Step Answer:

a The iterated limits are 0 If x y then fx y sin 2 x2x 2 12 as x 0 Thus ...View the full answer

An Introduction to Analysis

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