Sum to infinity

Calculus Level 3

1+232!+333!+434!+=k×e\large 1+\frac{2^3}{2!}+\frac{3^3}{3!}+\frac{4^3}{4!}+\cdots = k \times e

What is kk?

Notation: e2.71828e \approx 2.71828 denotes the Euler's number.

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