1 3. Use partial fractions to rewrite as a telescoping series and find its sum. n(n+3) 11 18
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 \(\frac{11}{18}\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F19c95f6a-cec3-4701-90f5-79137748fce0%2F52cd82ab-8bac-42a7-b479-ac1f72aa155a%2Fly159fp_processed.png&w=3840&q=75)
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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