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Use the following steps to show that o ` n1 s21d n21 n ln 2 Let hn and sn be the partial

Single Variable Calculus: Early Transcendentals | 8th Edition | ISBN: 9781305270336 | Authors: James Stewart ISBN: 9781305270336 484

Solution for problem 36 Chapter 11.5

Single Variable Calculus: Early Transcendentals | 8th Edition

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Single Variable Calculus: Early Transcendentals | 8th Edition | ISBN: 9781305270336 | Authors: James Stewart

Single Variable Calculus: Early Transcendentals | 8th Edition

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Problem 36

Use the following steps to show that o ` n1 s21d n21 n ln 2 Let hn and sn be the partial sums of the harmonic and alternating harmonic series. (a) Show that s2n h2n 2 hn. (b) From Exercise 11.3.44 we have hn 2 ln n l as n l ` and therefore h2n 2 lns2nd l as n l ` Use these facts together with part (a) to show that s2n l ln 2 as n l `.

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Chapter 11.5, Problem 36 is Solved
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Textbook: Single Variable Calculus: Early Transcendentals
Edition: 8
Author: James Stewart
ISBN: 9781305270336

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Use the following steps to show that o ` n1 s21d n21 n ln 2 Let hn and sn be the partial