Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 9 - Infinite Series - 9.2 Exercises - Page 601: 27

Answer

3

Work Step by Step

We see, from the question 20 of this exercise, that $\Sigma^{n=\infty}_{n=1} \frac{1}{n(n+2)}=\frac {1}{2} \times\frac{3}{2} = \frac{3}{4}$ Therefore, $\Sigma^{n=\infty}_{n=1} \frac{4}{n(n+2)}= 4\times\frac{3}{4}=3$
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