study-the-convergence-of-n-0-e-x-k-0-x-k-k-

Tinku Tara June 4, 2023 Relation and Functions 0 Comments

Question Number 37334 by math khazana by abdo last updated on 12/Jun/18

study the convergence of Σ_(n=0) ^∞ e^(−x) Σ_(k=0) ^∞ (x^k /(k!)) .

$${study}\:{the}\:{convergence}\:{of} \\ $$$$\sum_{{n}=\mathrm{0}} ^{\infty} \:\:{e}^{−{x}} \:\sum_{{k}=\mathrm{0}} ^{\infty} \:\:\frac{{x}^{{k}} }{{k}!}\:. \\ $$

Commented by math khazana by abdo last updated on 14/Jun/18

the Q is study the convergence of Σ_(n=0) ^∞ e^(−x) Σ_(k=0) ^n (x^k /(k!))

$${the}\:{Q}\:{is}\:{study}\:{the}\:{convergence}\:{of}\: \\ $$$$\sum_{{n}=\mathrm{0}} ^{\infty} \:{e}^{−{x}} \:\sum_{{k}=\mathrm{0}} ^{{n}} \:\frac{{x}^{{k}} }{{k}!} \\ $$

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