I just became curious about this sequence, so I tried several method to get exact value of the sum.
I know it converges, but I have no idea to calculate the exact value.
Is the value of $\sum_{n=1}^{\infty}\frac{1}{1+n!}$ already known, or does any nice method for it exist?
2026-04-12 03:12:27.1775963547
Is there any known value for $\sum_{n=1}^{\infty}\frac{1}{1+n!}$?
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