Chapter 15: Applications of Differentiation: Power Series

Introduction

We can use the power of differentiation to introduce a new way to describe functions and to relate it to the ways previously discussed. We first discuss the notions of infinite series, and of convergence, and then use differentiation in this context.

Topics

15.1 Infinite Series and Convergence

15.2 Criteria for Convergence

15.3 Criteria for Absolute Convergence

15.4 Divergent Series

15.5 Power Series

15.6 Application of Power Series: Stirling Formula for n!