Explanation Given info. ∑ n = 1 ∞ ( − 1 ) n + 1 ln n n ! Concept used: To approximate the value use | S − S N | ≤ a N + 1 Calculation: Given ∑ n = 1 ∞ ( − 1 ) n + 1 ln n n ! And a n = ln n n ! Clearly a N + 1 = ln N + 1 ( N + 1 ) ! To make the error 10 − 5 at most, use have to find the smallest value of N such that. ln n + 1 ( n + 1 ) ! ≤ 10 − 5 Putting various values of N we get. ln n + 1 ( n + 1 ) ! ≤ 10 − 5 Putting N = 8 ln ( 9 ) ( 9 ) ! = 2...

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 11.4, Problem 16E

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Find a value of $N$ such that $S_{n}$ approximates the series with an error of at most $10^{- 5}$ . If you have a CAS, compute this value of $S_{n}$ .

$\sum_{n = 1}^{\infty} \frac{{(- 1)}^{n + 1} \ln n}{n!}$

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Chapter 11.4, Problem 15E

Chapter 11.4, Problem 17E

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Chapter 11 Solutions

Calculus - Standalone book

Ch. 11.1 - Prob. 1PQ Ch. 11.1 - Prob. 2PQ Ch. 11.1 - Prob. 3PQ Ch. 11.1 - Prob. 4PQ Ch. 11.1 - Prob. 5PQ Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E

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Find a value of N such that S n approximates the series with an error of at most 10 − 5 . If you have a CAS, compute this value of S n . ∑ n = 1 ∞ ( − 1 ) n + 1 ln n n !

Solution Summary: The author explains how to determine the value of N such that S n approximates the series with an error of at most 10 5.

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Find a value of $N$ such that $S_{n}$ approximates the series with an error of at most $10^{- 5}$ . If you have a CAS, compute this value of $S_{n}$ .

$\sum_{n = 1}^{\infty} \frac{{(- 1)}^{n + 1} \ln n}{n!}$

Want to see the full answer?

Chapter 11 Solutions

Find a value of N such that S n approximates the series with an error of at most 10 − 5 . If you have a CAS, compute this value of S n . ∑ n = 1 ∞ ( − 1 ) n + 1 ln n n !

Solution Summary: The author explains how to determine the value of N such that S n approximates the series with an error of at most 10 5.

Videos

Find a value of N such that Sn approximates the series with an error of at most 10−5. If you have a CAS, compute this value of Sn. ∑n=1∞(−1)n+1lnnn!

Want to see the full answer?

Chapter 11 Solutions

Find a value of $N$ such that $S_{n}$ approximates the series with an error of at most $10^{- 5}$ . If you have a CAS, compute this value of $S_{n}$ .

$\sum_{n = 1}^{\infty} \frac{{(- 1)}^{n + 1} \ln n}{n!}$