Whether-the-following-seriesconverge-determinant-n-1-1-n-1-n-ln-1-2-2n-1-

Question Number 217378 by MrGaster last updated on 12/Mar/25

Whether the following

seriesconverge :

\begin{matrix} \underset{n = 1}{\sum^{\infty}} {(- 1)}^{n} [1 + n \ln (1 - \frac{2}{2 n + 1})] \end{matrix}