Solution Found!
?Determine whether the series is convergent or divergent by expressing \(S_{n}\) as a
Chapter 9, Problem 19(choose chapter or problem)
QUESTION:
Determine whether the series is convergent or divergent by expressing \(S_{n}\) as a telescoping sum (as in Example 2). If it is convergent, find its sum.
\(\sum_{n=1}^{\infty} \frac{3}{n(n+3)}\)
Equation Transcription:
Text Transcription:
s_n
sum_n=1^infinity 3/n(n+3)
Questions & Answers
QUESTION:
Determine whether the series is convergent or divergent by expressing \(S_{n}\) as a telescoping sum (as in Example 2). If it is convergent, find its sum.
\(\sum_{n=1}^{\infty} \frac{3}{n(n+3)}\)
Equation Transcription:
Text Transcription:
s_n
sum_n=1^infinity 3/n(n+3)
Step 1 of 4
Use partial fraction decomposition to simplify the series.
if
if
The series can be written as follows
