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?Find the values of \(p\) for which the series is convergent. \(\sum_{n=2}^{\infty}
Chapter 9, Problem 31(choose chapter or problem)
QUESTION:
Find the values of \(p\) for which the series is convergent.
\(\sum_{n=2}^{\infty} \frac{1}{n(\ln n)^{p}}\)
Equation Transcription:
p
Text Transcription:
the sum from n = 2 to infinity of 1/n (ln n)^P
Questions & Answers
QUESTION:
Find the values of \(p\) for which the series is convergent.
\(\sum_{n=2}^{\infty} \frac{1}{n(\ln n)^{p}}\)
Equation Transcription:
p
Text Transcription:
the sum from n = 2 to infinity of 1/n (ln n)^P
ANSWER:Step 1 of 6
Consider the series
Compare the series with on . For , the series becomes
Because the series diverges, so assume that .