Power Series | David Shea Vela-Vick

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

$f(z) = \sum_{n=0}^\infty a_n z^n,$

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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