Sum of an infinite series

Calculus Level 3

13×0!+14×1!+15×2!+16×3!+17×4!+=?\frac 1{3\times{0!}}+\frac 1{4\times{1!}}+\frac 1{5\times{2!}}+\frac 1{6\times{3!}}+\frac 1{7\times{4!}}+\cdots=?

Report your answer to 5 places after decimal

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