unl-taylorcont

unl-taylorcont - Analysis WebNotes: Chapter 07, Class 46

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Analysis WebNotes: Chapter 07, Class 46 http://www.math.unl.edu/~webnotes/classes/class46/class46.htm 1 of 3 11/9/2007 11:20 AM Class Contents Taylor series (continued) Discovering power series expansions for functions Mathematical implications Not all functions are Taylor series Taylor's theorem Examples Taylor Series Discovering Power Series Expansions for Functions We've already seen how incredibly useful it is to know the power series form for just one function: the exponential function e x . Many functions have power series expansions. For example: Other functions can be expressed as power series too: are two important examples. In order to verify that these function are equal to power series we will need to know in advance what power series we are trying to show the function is equal to. (Just as, in fact, we needed to know in advance what power series e x was equal to, although we just pulled the answer out of the hat.) Example....
View Full Document

This note was uploaded on 04/02/2008 for the course MATH 31B taught by Professor Valdimarsson during the Fall '08 term at UCLA.

Page1 / 3

unl-taylorcont - Analysis WebNotes: Chapter 07, Class 46

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online