Find the sum of the series Hint: Find the constants and such that
Chapter 9, Problem 138(choose chapter or problem)
Find the sum of the series \(\sum_{n=1}^{\infty} \frac{1}{n(n+1)(n+2)}\).
Hint: Find the constants A, B, and C such that
\(\frac{1}{n(n+1)(n+2)}=\frac{A}{n}+\frac{B}{n+1}+\frac{C}{n+2}\)
Text Transcription:
sum_n=1^inftyfrac1n(n+1)(n+2)
frac1n(n+1)(n+2)=fracAn+fracBn+1+fracCn+2
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