Let g(x) = p(x) + xn+1f(x), where p(x) is a polynomial of degree at most n and

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Let g(x) = p(x) + xn+1f(x), where p(x) is a polynomial of degree at most n and f has derivations through order n Show that p(x) is the Maclaurin polynomial of order n for g?
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Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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