# Limits are easy... right?

Calculus Level 3

The limit $\lim_{n\to\infty}\frac1n\left(\prod^n_{k=1}\Gamma\left(\frac1k\right)\right)^{1/n}$

Can be written as $a\,e^{b}+c$

Find the value of $$|a|+|b|+|c|$$.

Details and Assumptions - $$e$$ denotes the base of the natural logarithm.

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