DLMF:2.10.E8 (Q995)

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DLMF:2.10.E8
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    ∑ j = 1 n - 1 1 j ∼ ln ⁡ n + γ - 1 2 ⁢ n - ∑ s = 1 ∞ B 2 ⁢ s 2 ⁢ s ⁢ 1 n 2 ⁢ s , asymptotic-expansion superscript subscript 𝑗 1 𝑛 1 1 𝑗 𝑛 1 2 𝑛 superscript subscript 𝑠 1 Bernoulli-number-B 2 𝑠 2 𝑠 1 superscript 𝑛 2 𝑠 {\displaystyle{\displaystyle\sum_{j=1}^{n-1}\frac{1}{j}\sim\ln n+\gamma-\frac{% 1}{2n}-\sum_{s=1}^{\infty}\frac{B_{2s}}{2s}\frac{1}{n^{2s}},}}
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    DLMF:2.10.E8
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