
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question
Miscellaneous limits Use the method of your choice to evaluate the following limits.

Transcribed Image Text:?+ 2ry — 6х + у? - бу
lim
6x + y? – 6y
(х, у) - (3, 3)
х+у- 6
Expert Solution

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Step 1
Given limits
lim(x,y)→(3,3)(x2+2xy+y2)-6x-6yx+y-6lim(x,y)→(3,3)(x+y)2-6(x+y)(x+y-6)lim(x,y)→(3,3)(x+y)(x+y-6)(x+y-6)lim(x,y)→(3,3)(x+y)
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