grandes-ecoles 2024 Q19c

grandes-ecoles · France · x-ens-maths-a__mp Sequences and Series Convergence/Divergence Determination of Numerical Series
Justify that the series $\sum_{k \geqslant 2} \frac{\ln(k)}{k(k-1)}$ converges.
Justify that the series $\sum_{k \geqslant 2} \frac{\ln(k)}{k(k-1)}$ converges.