Question

For which \(a\) does the following series converge?

\[\sum_{n=2}^{\infty}\frac{1}{n(\ln n)^a}\]

Answer 1

For which \(a\) does the following series converge?

\[\sum_{n=2}^{\infty}\frac{1}{n(\ln n)^a}\]

Answer 2

if i recall correctly; fractions add up and converge? id say for all a > 0 but i cant be sure if

Answer 3

consider the harmonic series
\[\frac{1}{n^1}\] does not converge

Answer 4

yeah, im still going over series and convergence divergence material in the book :) itll sink in one of these days