**Intended Audience**: Undergraduates, advanced high-schoolers and high-school teachers interested in showing their students some advanced mathematics.

In this episode we introduce power series and have a brief discussion about some of their properties.

A power series is a function of the form

where the coefficients are complex numbers. We discuss basic issues like convergence of series in general and radii of convergence for power series. We also discuss some examples.

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©2016 David Shea Vela-Vick