Sunday, 28 August 2016

limits - Is the sequencesSn convergent?

Let Sn=ennk=0nkk!



Is the sequences{Sn} convergent?



The following is my answer,but this is not correct. please give some hints.



For all xR, lim
then




\lim_{n\rightarrow\infty}e^{-n}\sum_{k=0}^n\frac{n^k}{k!}=1.

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