what 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)

Quote:

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Originally Posted by superdude

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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p > 0 forms an alternating series whose nth term approaches 0 ... convergent.

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