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

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Unit: Sequences and Series Module: Taylor and Maclaurin Series Taylor Series www.thinkwell.com [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
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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.

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