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I need help calculating the central value of the partial exponential function :

$$\lim_{n \to \infty} e^{-n} \sum^n_{k=0} \frac{n^k}{k!}$$


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marked as duplicate by robjohn Mar 18 '13 at 23:17

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Related to a sum of independent Poisson random variables with parameter 1 –  user66322 Mar 18 '13 at 22:37

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I think it goes to 1/2 ... after all, you have half the series :-)

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What do you mean by "half the series"? –  Chris Mar 18 '13 at 23:06

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