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Lagrange form of the remainder

The Lagrange form of the remainder MATH is given in the following theorem.

Taylor's theoremIf MATH exists for each $x$ in an interval $c-h<x<c+h$, then MATHwhere MATHfor some $t$ between $x$ and $c$.


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Taylor polynomials


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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