# Science:Infinite Series Module/Units/Unit 3/3.1 Power Series

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## What This Lesson Covers

In this lesson we will introduce a few concepts:

- representation of functions with a power series
- conditions for convergence of a power series
- radius of convergence of a power series

## Learning Objectives

After reading this lesson and completing a sufficient number of exercices on paper, you should be able to

- expand a function in a power series
- determine the radius of convergence of that series

## Topics

- A Motivating Problem
- The Power Series
- A Simple Example
- Power Series Convergence
- Power Series Convergence Example
- Videos on Power Series
- Final Thoughts on Power Series