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


  1. A Motivating Problem
  2. The Power Series
  3. A Simple Example
  4. Power Series Convergence
  5. Power Series Convergence Example
  6. Videos on Power Series
  7. Final Thoughts on Power Series