Calculus (3rd Edition)

by Rogawski, Jon; Adams, Colin

Published by W. H. Freeman

ISBN 10: 1464125260

ISBN 13: 978-1-46412-526-3

Chapter 11 - Infinite Series - 11.7 Taylor Series - Preliminary Questions - Page 588: 5

Answer

(c)

Work Step by Step

Since $R_k(2)=f(2)-T(2)$, then $f(2)=T(2)$ if the remainder $R_k(2)$ approaches zero as $ k \to \infty$. So, (c) is the right answer.

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