Sum of a Cubes Factorial Series

Shew that $1 + \frac{2 ^{3}}{2 !} + \frac{3 ^{3}}{3 !} + \frac{4 ^{3}}{4 !} + \dots = 5 e$ .

~10 minProof · checked by AIExponential seriesFactorial series

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XVII. Exponential and Logarithmic Series, Examples XVII, No. 21

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