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?Determine whether the series is convergent or divergent. \(\sum_{n=1}^{\infty}
Chapter 9, Problem 20(choose chapter or problem)
QUESTION:
Determine whether the series is convergent or divergent.
\(\sum_{n=1}^{\infty} \frac{1}{n^{2}+2 n+2}\)
Equation Transcription:
Text Transcription:
sum _n=1^infinity 1/n^2 + 2n + 2
Questions & Answers
QUESTION:
Determine whether the series is convergent or divergent.
\(\sum_{n=1}^{\infty} \frac{1}{n^{2}+2 n+2}\)
Equation Transcription:
Text Transcription:
sum _n=1^infinity 1/n^2 + 2n + 2
ANSWER:Step 1 of 4
The analogous function is continuous,
positive and decreasing for so we can use the integral test.