# Fearsome Factorials!

Algebra Level 3

If the value of

$$\sum^{2014}_{k =1} \frac{k}{(k + 1)!}$$

can be written in the form of

$$A + (-1)^{B} \cdot \frac{1}{C!}$$, when $$A, B$$ and $$C$$ are postive integers and $$B$$ is either $$1$$ or $$2$$,

find the value of $$A + B + C$$.

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