Calculus II, Lecture 21: Taylor series

Lecture 21: Taylor series.

A Taylor series is a way to represent a function as an power series centered at a particular point, where the coefficients are computed from the n'th derivatives of the function. A Maclauren series is simply a Taylor series centered at x=0. In this lecture, we show how to compute a Taylor series, and how they can make certain integrals much easier to evaluate.