RedAssign13[1].1 - Unit: Sequences and Series Module:...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Unit: Sequences and Series Module: Taylor and Maclaurin Series Taylor Series [email protected] Copyright 2001, Thinkwell Corp. All Rights Reserved. 1610 –rev 06/15/2001 The Taylor series expansion of f ( x ) centered at x = c is = () 0 ! n n n fc xc n assuming that f ( x ) is differentiable an infinite number of times. For a given x , if the Taylor series expansion of f ( x ) converges then it equals f ( x ). A Taylor polynomial has a finite degree k . As a result, it only approximates the values of the original function. The approximation is best near the center, c , of the polynomial. The error of the approximation is the
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 04/27/2010 for the course MATH 172 taught by Professor Hyon during the Spring '10 term at Community College of Denver.

Ask a homework question - tutors are online