Quadrapule / factorial?

Calculus Level 3

\[ \Large 1 + \dfrac{16}{2!} + \dfrac{81}{3!} + \dfrac{256}{4!} + \ldots \ldots \infty = \ ? \]

Details :

  • \(e = \displaystyle\lim_{x\rightarrow \infty} \left(1 + \dfrac{1}{x}\right)^x\)
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