# Oh! its a series, or is it ?

Level pending

If the summation $$S=\displaystyle \sum_{n=1}^{\infty} \dfrac{n^2+1}{n+2} \cdot \dfrac{x^n}{n!}$$ can be written as a function $$f(x)$$, find $$\lceil f(1) \rceil$$, where $$\lceil x \rceil$$ is the cieling function.

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