Amazing But Quite Confusing Series

Calculus Level 4

\[\large 1 + \frac{2^{3}}{1!} + \frac{3^{3}}{2!} + \frac{4^{3}}{3!} + \cdots \]

Find the value of the closed form of the above series to 3 decimal places.

\(\)
Notation: \(!\) is the factorial notation. For example, \(8! = 1\times2\times3\times\cdots\times8 \).

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