OpenStudy (castiel):

Does it converge?

2 years ago
OpenStudy (castiel):

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

2 years ago
OpenStudy (castiel):

I tried ratio and root test, both inconclusive

2 years ago
OpenStudy (castiel):

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

2 years ago
OpenStudy (rational):

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

2 years ago
OpenStudy (anonymous):

the series converge by Integral Test

2 years ago
OpenStudy (castiel):

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

2 years ago