1 3. Use partial fractions to rewrite as a telescoping series and find its sum. n(n+3) 11 18

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use partial fractions and telescoping series to find its sum.

3. Use partial fractions to rewrite 

\[
\sum_{n=1}^{\infty} \frac{1}{n(n+3)}
\]

as a telescoping series and find its sum.

The sum is \(\frac{11}{18}\).
Transcribed Image Text:3. Use partial fractions to rewrite \[ \sum_{n=1}^{\infty} \frac{1}{n(n+3)} \] as a telescoping series and find its sum. The sum is \(\frac{11}{18}\).
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