

IntroductionInfinite series are useful mathematical tools. We discuss their convergence, properties of power series, and methods for determining their sums. Topics30.1 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 