Answer
$n=10^4$
Work Step by Step
Recall the formula that $\text{Error}=|R_n| \leq a_{n+1}$
Here, we have
$R \leq \dfrac{1}{n+1}$
and $ \dfrac{1}{n+1} \lt 10^{-4}$
or, $n+1 \gt 10^4$
or, $n \gt 10^4 -1$
or, $n=10^4$
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 8 - Sequences and Infinite Series - 8.6 Alternating Series - 8.6 Exercises - Page 657: 29
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