Friday, 6 November 2015

calculus - Is the series L=suminftyi=2frac1nlog(n) convergent or divergent?

Does L=i=21nlog(n) converge or diverge?



I established that:
LI=21nlog(n)=limn[ln(log(n))ln(log(2))],


and as limnlog(x)=, then L diverges.



But I'm not sure:




  1. of the sense of the inequality,

  2. about the conclusion.


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