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