In this lesson on Taylor and Maclaurin series, we learn about the power series representation of functions and how to find the coefficients of their terms. We also explore the Taylor series expansion of a function about a given number x0 and the conditions for its convergence. We see examples of finding the Maclaurin series for e^x, sin x, and cos x, as well as using Taylor series to find the closed form of power series. Overall, this lesson provides a thorough understanding of power series and their applications in mathematics.
Maclaurin series. Expansions of e^x, sin x, and cos x, and related series. Taylor series expansions about x0.
Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.