Question: 5. By applying the central limit theorem to a sequence of random variables with the Poisson distribution, or otherwise, prove that en 1 + n

5. By applying the central limit theorem to a sequence of random variables with the Poisson distribution, or otherwise, prove that e−n


1 + n +

n2 2! + · · · +

nn n!

!

→

1 2

as n → ∞.

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