WolframAlpha can't calculate this limit.

Calculus Level 5

The value of this limit : limn+enk=0nnkk!.\lim_{n\to + \infty}e^{-n} \sum_{k=0}^n \frac{n^k}{k!} . Can be written as ab\frac{a}{b}, where a,ba,b are coprime integers.

Find a+ba+b.

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