It's a Trap!

Calculus Level 4

\[\large P = \prod_{n=1}^{ \infty}\dfrac{\lfloor n!e \rfloor} {\lfloor n!e - 1\rfloor} \]

What is \( \ln(P)\)?

Notation: \( \lfloor \cdot \rfloor \) denotes the floor function.

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