Question Number 37334 by math khazana by abdo last updated on 12/Jun/18
$${study}\:{the}\:{convergence}\:{of} \\ $$$$\sum_{{n}=\mathrm{0}} ^{\infty} \:\:{e}^{−{x}} \:\sum_{{k}=\mathrm{0}} ^{\infty} \:\:\frac{{x}^{{k}} }{{k}!}\:. \\ $$
Commented by math khazana by abdo last updated on 14/Jun/18
$${the}\:{Q}\:{is}\:{study}\:{the}\:{convergence}\:{of}\: \\ $$$$\sum_{{n}=\mathrm{0}} ^{\infty} \:{e}^{−{x}} \:\sum_{{k}=\mathrm{0}} ^{{n}} \:\frac{{x}^{{k}} }{{k}!} \\ $$