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Limits Evaluate the following limits using | Ch 9.4 - 16E

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 16E Chapter 9.4

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 16E

Limits Evaluate the following limits using Taylor series.

Step-by-Step Solution:

Solution 16E

Step 1:

In this  problem we have to evaluate     using taylor series.

We know the taylor series of  ln(x) , centered at 1 is ;

 ln(x) = (x-1) - 

Consider ,   =  

         =  

        =  , since cancel out the like     terms.

       =  , since , then (x-1) = 0

       =

       =

       = 1.

 Therefore ,   = 1.

           

Step 2 of 1

Chapter 9.4, Problem 16E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Limits Evaluate the following limits using | Ch 9.4 - 16E