Let f(x) be a function that possesses at least n derivatives at x = a and let

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Let f(x) be a function that possesses at least n derivatives at x = a and let Pn(x) be the Taylor polynomial of order n based at a. Show that
Pn(a) = f(a), P'n(a) = f'(a), P"n(a) = f"(a),
... P(n)n (a) = f(n) (a)?

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Calculus

ISBN: 978-0131429246

9th edition

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

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Question Posted: Jun 21, 2016 10:38 AM

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Let f(x) be a function that possesses at least n derivatives at x = a and let

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P n x fa fa x a fa 2 x a 2 fa 3 x a 3 f n a n x a ...View the full answer

Calculus

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