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Intervals of ConvergenceIn Exercise , (a) | Ch 10.7 - 30E

Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass ISBN: 9780321884077 57

Solution for problem 30E Chapter 10.7

Thomas' Calculus: Early Transcendentals | 13th Edition

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Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

Thomas' Calculus: Early Transcendentals | 13th Edition

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Problem 30E

Intervals of Convergence

In Exercise , (a) find the series’ radius and interval of convergence. For what values of x does the series converge (b) absolutely, (c) conditionally?

Reference:

Theory and Examples

Use the Cauchy condensation test from Exercise 53 to show that

Reference: Exercise 53

Theory and Examples

The Cauchy condensation test The Cauchy condensation test says: Let {an} be a non-increasing sequence (for all n) of positive terms that converges to 0. Then converges if and only if converges. For example, diverges because diverges. Show why the test works.

Step-by-Step Solution:
Step 1 of 3

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Chapter 10.7, Problem 30E is Solved
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Textbook: Thomas' Calculus: Early Transcendentals
Edition: 13
Author: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass
ISBN: 9780321884077

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Intervals of ConvergenceIn Exercise , (a) | Ch 10.7 - 30E

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