Homework Statement
Does the sequence {(1/2)ln(1/n)} converge or diverge?
Homework Equations
Working it out analytically, I think it diverges. I would like to know the appropriate test to show this
The Attempt at a Solution
Thanks a great deal. I never heard of the Striling formula till now. I just looked it up, applied it and the expression reduced to ln(1/n)^(1/2) which diverges with p-series. Further insight would be greatly appreciated
[SOLVED] Infinite Series
Homework Statement
ln((n!e^n)/n^(n+1/2))
Homework Equations
Does the series above converge or diverge.
The Attempt at a Solution
I can see that it diverges but I'm looking for the appropriate test to show this