Question Number 186681 by mathocean1 last updated on 08/Feb/23
$${Etudier}\:{la}\:{convergence}\:{uniforme} \\ $$$$\underset{{n}=\mathrm{0}} {\overset{+\infty} {\sum}}\left(−\right)^{{n}} \frac{{e}^{−{nx}^{\mathrm{2}} } }{\left(\mathrm{1}+{n}\right)^{\mathrm{3}} }\:;\:{n}\:\in\:\mathbb{N}. \\ $$