Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 11 - Infinite Sequences and Series - 11.5 Alternating Series - 11.5 Exercises - Page 776: 28

Answer

The sum based on four terms is 0.9856. By alternating series test it converges as the limit goes to 0 ande bn decreases.

Work Step by Step

As the answer needs to be approximate to flues decimal places, calculate the value of the sequence and when it goes less than 0.0001, the partial sum only need approximately 4 terms. From 4 terms up, the sum keeps constant around
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