Сheck сonvergence <munderover> &#x2211;<!-- ∑ --> <mrow class="MJX-TeXAtom-ORD"> n

Roland Manning

Roland Manning

Answered question

2022-06-21

Сheck сonvergence n = 2 n n ln 2 n

Answer & Explanation

mar1nerne

mar1nerne

Beginner2022-06-22Added 20 answers

You see that for n 2. As n 1 n 1 we have n 1 n ln 2 ( n ) 1 ln 2 ( n )
and the series n = 2 1 ln 2 ( n ) diverges by Cauchy Condensation test. Hence By direct comparison , we have the original series is divergent.

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