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Taylor polynomials, Maclaurin polynomials

The nth Taylor polynomial for the function f(x)  at c is MATHor in summation notation,MATH

It is the polynomial of degree at most n that best approximates f(x) for x near c.

A Maclaurin polynomial is a Taylor polynomial at 0. The nth Maclaurin polynomial isMATH


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Lagrange form of the remainder


Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.

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