Question Number 84575 by msup trace by abdo last updated on 14/Mar/20
$${find}\:{nature}\:{of}\:{the}\:{serie}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\Gamma\left(\frac{\mathrm{1}}{{n}}\right) \\ $$$$\Gamma\left({x}\right)=\int_{\mathrm{0}} ^{\infty} \:{t}^{{x}−\mathrm{1}} \:{e}^{−{t}} \:{dt}\:\:\:\:\:\left({x}>\mathrm{0}\right) \\ $$