Yakinsak - Iraksak ?

Question

$\sum _{n=2}^{\infty }\frac{1}{nln^2n^{\:}}$ yakinsak oldugunu gosterin

Answer 1

Integral testi ve $lnx=u$ degisimi. Burdan $\frac{1}{u^2}$'nin integrali. Yani yakinsak.