I can't deal with finding:
$$\lim_{n\to\infty}e^{-n}\sum_{k=0}^n n^k/k!$$
Have you any idea ?
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Watson
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Ever heard about the Stirling approximation? I might help you – Vincent Sep 02 '16 at 10:07
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You could try to search before asking: http://math.stackexchange.com/questions/160248/evaluating-lim-limits-n-to-infty-e-n-sum-limits-k-0n-fracnkk… – Watson Sep 02 '16 at 10:07