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  "body": "\n## Summary\n\nLindelöf summation is a [[summability method|8X25Q4XYMN]] that damps the $n$-th term of a series by the factor $n^{-hn}$ and lets $h$ decrease to $0$.\nThe damping factors decay faster than any geometric sequence, so the damped series converges for many divergent series.\nThe method is regular: it gives the usual sum to every convergent series.\nApplied to the Taylor series of an analytic function, it sums the series in the whole [[Mittag-Leffler star|C21ECQ1H84]] of the function.\n\n## Explanations\n\n### L1 human\n\nMultiply the $n$-th term of a series by $n^{-hn}$ for a small positive number $h$.\nFor large $n$ this factor is tiny, so even a series with fast-growing terms can converge after damping.\nAs $h$ shrinks to $0$, every factor tends to $1$ and the damping disappears.\nIf the damped sums approach a limit, that limit is the Lindelöf sum.\n",
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