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

prove that the series summation from n=3 to infinity of (1/(n*log(n)*(log(log(n))^p)) diverges if 0<p<=1 and converges for p>1.

2. Relevant equations

3. The attempt at a solution

2^n*a(2^n)= 1/(log(2^n)*(log(log(2^n))^p)). this is similar to the summation from n=2 to infinity of 1/(n(logn^p)) if we let n = log(2^n)...

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# Homework Help: Convergence of sequence with log

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