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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 9.4 - Problem 16e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 9.4 - Problem 16e

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

ISBN: 9780321570567 2

## Solution for problem 16E Chapter 9.4

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

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