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Question Number 33890 by math khazana by abdo last updated on 26/Apr/18

find lim_(x→+∞)  Σ_(n=1) ^∞ (1+(1/n))^n^2   (x^n /(n!)) .

$${find}\:{lim}_{{x}\rightarrow+\infty} \:\sum_{{n}=\mathrm{1}} ^{\infty} \left(\mathrm{1}+\frac{\mathrm{1}}{{n}}\right)^{{n}^{\mathrm{2}} } \:\frac{{x}^{{n}} }{{n}!}\:. \\ $$

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