Compare $e^n$ and its first $n$ terms sum

Asked Nov 20 '13 at 17:23

Active Nov 20 '13 at 17:33

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Compute the limit as $n$ approaches infinity. $$ \frac{\sum_{0\le i\le n} \frac{n^i}{i!}}{e^n} $$

It is somehow between 0 and 1.

asked Nov 20 '13 at 17:23

Ma Ming

1

This is old problem : http://math.stackexchange.com/questions/160248/evaluating-lim-n-to-infty-e-n-sum-limits-k-0n-fracnkk/160288#160288 – math110 Nov 20 '13 at 17:53

0 Answers0