Mathematical Methods in the Physical Sciences

3rd Edition

ISBN: 9780471198260

Author: Mary L. Boas

Publisher: Wiley, John & Sons, Incorporated

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Textbook Question

Chapter 1.6, Problem 15P

Use the integral test to prove the following so-called p-series test. The series ∑ n = 1 ∞ 1 n p i s c o n v e r g e n t i f p > 1 , d i v e r g e n t i f p ≤ 1.

Caution: Do p = 1 separately.

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Chapter 1.6, Problem 14P

Chapter 1.6, Problem 16P

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Mathematical Methods in the Physical Sciences

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Use the integral test to prove the following so-called p-series test. The series ∑ n = 1 ∞ 1 n p i s c o n v e r g e n t i f p &gt; 1 , d i v e r g e n t i f p ≤ 1. Caution: Do p = 1 separately.

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Use the integral test to prove the following so-called p-series test. The series ∑ n = 1 ∞ 1 n p i s c o n v e r g e n t i f p > 1 , d i v e r g e n t i f p ≤ 1. Caution: Do p = 1 separately.