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.
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
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