Question Number 186680 by mathocean1 last updated on 08/Feb/23
$${study}\:{the}\:{convergence}\:{of}: \\ $$$$\underset{{n}=\mathrm{1}} {\overset{+\infty} {\sum}}\underset{{k}=\mathrm{1}} {\overset{{n}} {\prod}}\left(\mathrm{1}−{e}^{\left(\frac{\mathrm{1}}{{k}}\right)} \right) \\ $$