Capital and lowercase gamma

Calculus Level 3

\[\large{ L=\displaystyle \lim_{x \rightarrow 0} \dfrac{(2015x)!-1}{x} }\]

If \(L\) can be represented in the form \( -A \cdot \gamma\), where \( \gamma\) is the Euler-Mascheroni constant, find the value of \(A\).

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