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Chapter 30: Series

Introduction

Infinite series are useful mathematical tools. We discuss their convergence, properties of power series, and methods for determining their sums.

Topics

30.1 Introduction

30.2 Conditions for Convergence of an Alternating Sequence

30.3 Conditions for Absolute Convergence

30.4 Power Series and Radius of Convergence

30.5 Manipulating Absolutely Convergent Series

30.6 Computing Series Partial Sums

30.7 Expressions for Coefficients of a Power Series

30.8 Fourier Series