Taylor Series
Previous: Videos on Power Series
Next: A Motivating Problem
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 given function in a Maclaurin series
- determine the radius of convergence of a Taylor series
Topics
- A motivating problem
- The Taylor and Maclaurin expansions
- The Maclaurin expansion of ex
- The Maclaurin expansion of sin(x)
- The Maclaurin expansion of cos(x)
- A list of Maclaurin expansions
- Videos on Taylor Series
Previous: Videos on Power Series
Next: A Motivating Problem
