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Question Number 39837 by math khazana by abdo last updated on 12/Jul/18
![let S_n =Σ_(n=1) ^∞ e^(−n[(x/n)]) find a equivalent of S_n when n→+∞](Q39837.png)
$${let}\:{S}_{{n}} =\sum_{{n}=\mathrm{1}} ^{\infty} \:\:{e}^{−{n}\left[\frac{{x}}{{n}}\right]} \\ $$$${find}\:{a}\:{equivalent}\:{of}\:{S}_{{n}} \:{when}\:{n}\rightarrow+\infty \\ $$