Convergence sum_(n=2)^(oo)((sqrt[n](n^(p)))/(n ln n)) Tried with Leibniz, but can't check monotony.

garkochenvz

garkochenvz

Open question

2022-08-14

Convergence n = 2 n p n n ln n
Help please. I need to check the convergence
n = 2 n p n n ln n
Tried with Leibniz, but can't check monotony.

Answer & Explanation

Riya Cline

Riya Cline

Beginner2022-08-15Added 17 answers

First we have
n p n n log n 1 n log n
secondly the series
n 1 n log n
is divergent using the integral test hence your series is divergent.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?