Question

Does it converge?

Answer 1

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

Answer 2

I tried ratio and root test, both inconclusive

Answer 3

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

Answer 4

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

Answer 5

the series converge by Integral Test

Answer 6

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