Explanation Given information : lim x → 1 2 − x ( x − 1 ) 2 and let f ( x ) = 2 − x ( x − 1 ) 2 . As we have f ( x ) = 2 − x ( x − 1 ) 2 As x approaches 1 from either left or right side, ( x − 1 ) 2 approaches to very small positive number and 2 − x also approaches to a positive number 1

15th Edition

ISBN: 9781305420878

Author: Stewart

Publisher: CENGAGE L

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topic…

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Question

Chapter 2.3, Problem 31E

To determine

The infinite limit limx→12−x( x−1)2 .

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Chapter 2.3, Problem 30E

Chapter 2.3, Problem 32E

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Chapter 2 Solutions

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The infinite limit lim x → 1 2 − x ( x − 1 ) 2 .

Solution Summary: The author explains the infinite limit of undersetxto 1mathrmlim2-x-(x-1)2.

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The infinite limit limx→12−x( x−1)2 .

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Chapter 2 Solutions