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Mathematics 35 Online
OpenStudy (castiel):

Does it converge?

OpenStudy (castiel):

\[\sum_{2}^{\inf}\frac{ 1 }{ \left( n-1 \right)\sqrt{n} }\]

OpenStudy (castiel):

I tried ratio and root test, both inconclusive

OpenStudy (castiel):

I need a simple comparison test or something, but nothing comes to my mind atm

OpenStudy (rational):

you may try ratio comparison test with \(\large b_n = \frac{1}{n*\sqrt{n}}\)

OpenStudy (anonymous):

the series converge by Integral Test

OpenStudy (castiel):

Oh I'm retarded. Thank you! This is a sign I should go to sleep.

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