Explanation Given : The function is lim x → 0 + ( ln x ln x − x + 1 ) . Calculation: Apply the limit of the function as follows: lim x → 0 + ( ln x ln x − x + 1 ) = Undefined The function is of indeterminate form. Apply L’Hopital’s rule in the limit of the function as follows: lim x → 0 + ( ln x ln x − x + 1 ) = lim x → 0 + ( d d x ( ln x ) d d x ( ln x −

14th Edition

ISBN: 9781464140051

Author: TAALMAN, Laura, Kohn, Peter

Publisher: W. H. Freeman

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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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Chapter 3.6, Problem 40S

To determine

To find: The limit of function limx→0+(lnxlnx−x+1) .

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Chapter 3.6, Problem 39S

Chapter 3.6, Problem 41S

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Chapter 3 Solutions

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The limit of function lim x → 0 + ( ln x ln x − x + 1 ) .

Solution Summary: The author calculates the limit of the function undersetxto 0+mathrmlimleft.

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To find: The limit of function limx→0+(lnxlnx−x+1) .

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Chapter 3 Solutions