3. Prove that each of the following functions has a limit as (x,y) --+ (0,0). x3 _...

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3. Prove that each of the following functions has a limit as (x,y) --+ (0,0).

x3 _ y3

(a) f(x'Y)=x2+y2' (x,y)-I=(O,O).

(b)

IxlQy4 f (x, y) = x2 + y4 '

where 0: is ANY positive number.

(x, y) -1= (0,0),

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An Introduction To Analysis

ISBN: 9780131453333

3rd Edition

Authors: William R. Wade

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Question Posted: Jul 18, 2024 10:14 AM

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3. Prove that each of the following functions has a limit as (x,y) --+ (0,0). x3 _...

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An Introduction To Analysis

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