Overview
Earlier we studied linear and quadratic approximations. If we continue to improve our approximations by using the third, fourth, fifth, … derivatives the result is a power series. These power series are called Taylor’s series. This session gives a formula describing the terms of a Taylor’s series and a few examples of its application.
Lecture Video and Notes
Video Excerpts
Clip 1: Introduction to Taylor’s Series
Clip 3: Taylor’s Formula Examples
Recitation Video
Finding Taylor’s Series
Taylor’s Series of a Polynomial
Worked Example
Proving That the Taylor Series of a Function is Equal to the Function
