Question:what does p need to be for this to be convergent

sum from 1 to infinity of

Answer: p>0

Confusion: I thought it would have to be p>1 like the "p-series" ( is convergent for p>1)

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- Jul 31st 2009, 11:24 AMsuperdudewhat values of p make this serries convergent
Question:what does p need to be for this to be convergent

sum from 1 to infinity of

Answer: p>0

Confusion: I thought it would have to be p>1 like the "p-series" ( is convergent for p>1) - Jul 31st 2009, 11:41 AMskeeter
p > 0 forms an

**alternating series**whose nth term approaches 0 ... convergent.

http://www.mathwords.com/a/alternating_series_test.htm