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Prove that if o an is a conditionally convergent series and r is any real number, then

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

Solution for problem 52 Chapter 11.6

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 52

Prove that if o an is a conditionally convergent series and r is any real number, then there is a rearrangement of o an whose sum is r. [Hints: Use the notation of Exercise 51. Take just enough positive terms an 1 so that their sum is greater than r. Then add just enough negative terms an 2 so that the cumulative sum is less than r. Continue in this manner and use Theorem 11.2.6.]

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Chapter 11.6, Problem 52 is Solved
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Textbook: Single Variable Calculus: Early Transcendentals
Edition: 8
Author: James Stewart
ISBN: 9781305270336

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Prove that if o an is a conditionally convergent series and r is any real number, then