(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Is the series convergent

1) [tex]\sum[/tex]1/(n^2 * ln n)

and 2) which value of p does the series converge. [tex]\sum[/tex] 1/(n*(ln n)^p)

3. The attempt at a solution

1)

I cannot see how the root method ([tex]\sqrt[n]{Cn}[/tex]) would work, or the ratio test would work (cn+1)/cn

Unless you use the limit test and lim 1/(n^2 * ln n) = 1/infinity = 0 therefore the series converges. I didnt think that question would be that easy though.

2) Similiar to the first wouldn't it just be if P > 1.

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# Homework Help: Determine if series converges

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