In this section we define power series and show how to determine when a power series converges and when it diverges. We also show how to represent certain functions using power series.

In mathematics, a power series (in one variable) is an infinite series of the form where represents the coefficient of the n th term and c is a constant called the center of the series.

Nov 11, 2025 · In this section we will give the definition of the power series as well as the definition of the radius of convergence and interval of convergence for a power series.

Jul 23, 2025 · When we talk about a converging power series, we mean that as you add more terms, the series approaches a finite value. The key concepts here are the radius of convergence and the …

This section contains lecture video excerpts, lecture notes, problem solving videos, and a worked example on power series.

Learn power series, Taylor and Laurent expansions, and convergence in complex analysis.

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power series, in mathematics, an infinite series that can be thought of as a polynomial with an infinite number of terms, such as 1 + x + x2 + x3 +⋯.

This page explores the power series, which is one where the terms of a sequence being summed are power functions. Interactive calculus applet.

In this section we define power series and show how to determine when a power series converges and when it diverges. We also show how to represent certain functions using power series.