1_−_1_+_2_−_6_+_24_−_120_+_...
1 − 1 + 2 − 6 + 24 − 120 + ⋯
Divergent series that can be summed by Borel summation
In mathematics,
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is a divergent series, first considered by Euler, that sums the factorials of the natural numbers with alternating signs. Despite being divergent, it can be assigned a value of approximately 0.596347 by Borel summation.