Does sum−1^{n}ln 2n^{frac{1}{n}}) converge or diverge?

Tazmin Horton

Tazmin Horton

Answered question

2021-03-18

Does 1nln2n1n converge or diverge?

Answer & Explanation

komunidadO

komunidadO

Skilled2021-03-19Added 86 answers

Let an=(1)nlog(2n12). Here
limn|an|=limnlog(2n1n)|=log(lim2n1n)(log is continuous function in[1,))=log2(Sincelimnn1n=1n=1(1)nlog(2n1n) is not convergent.

 

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