# A calculus problem by Bharath Sriraam

Calculus Level 4

Compute the value of the following infinite sum:

$\displaystyle \sum _{ r=1 }^{ \infty }{ \frac { { r }^{ 8 } }{ r! } }$

NOTE

$$e =\displaystyle \lim_{x\rightarrow \infty} \left(1+\dfrac{1}{x}\right)^{x}$$ is the Euler's number.

BONUS: Find $$\displaystyle \sum _{ r=1 }^{ \infty }{ \frac { { r }^{ n } }{ r! } } =?$$

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