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Unit: Sequences and Series Module: Taylor and Maclaurin Polynomials Maclaurin Polynomials www.thinkwell.com [email protected] Copyright 2001, Thinkwell Corp. All Rights Reserved. 1602 –rev 06/15/2001 The Maclaurin polynomial of f ( x ) is the Taylor polynomial of f ( x ) centered at x =0: = =+ + + + K (2) ( ) (0) (1) 2 0 0( 0 ) ( 0 ) (0) (0) !2 ! nk k n ff f xf f x x x . If you center the Taylor polynomial approximation of a function about the point x = 0, you get the Maclaurin polynomial approximation of the function. To find the fourth degree Maclaurin approximation of the exponential function e x , you start by taking the first four derivatives.
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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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