The proof of e^x Equaling its Maclaurin Series
Channel: Andrew Misseldine
Date: 2020-07-31

In this video, we prove that the natural exponential function, y=e^x, is equal to its Maclaurin series using Taylor's Inequality.

This is lecture 46 (part 2/5) of the lecture series offered by Dr. Andrew Misseldine for the course Math 1220 - Calculus II at Southern Utah University. A transcript of this lecture can be found at Dr. Misseldine's website or through his Google Drive at: https://drive.google.com/file/d/1XyasRYAYXBeW0FgLHog_zV0h3fBJXHwM/view

This lecture is based upon Section 11.10 of Calculus by James Stewart. Please post any questions you might have below in the comment field and Dr. Misseldine (or other commenters) can answer them for you. Please also subscribe for further updates.