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单词 harmonic series
释义

harmonic series

A series a1 + a2 + a3 + …in which a1, a2, a3,…is a harmonic sequence. Often the term refers to the particular series inline, where the n‐th term an equals 1/n. For this series, an → 0. However, the series does not have a sum to infinity since, if sn is the sum of the first n terms, then sn → ∞. For large values of n, sn ≈ lnn + γ, where γ is Euler's constant.

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更新时间:2025/4/30 2:31:42