Answer
$1$
Work Step by Step
We have $S_n=a_1-a_2+......+(-1)^{n+1}a_n$
Now, $|S-S_n|=\leq |a_{n+1}|$
So, $|\space Error |=|S-S_4| \leq |a_{4+1}|=|a_5|$
or, $=|(-1)^4 \times t^5|$
or, $=t^5 \lt 1$
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 9 - Section 9.6 - Alternating Series and Conditional Convergence - Exercises - Page 521: 52
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