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Formula:1370

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Digital Library of Mathematical Functions ID 3.9.E5

ln ⁡ 2 = 1 - 1 2 + 1 3 - 1 4 + ⋯ = 1 1 ⋅ 2 1 + 1 2 ⋅ 2 2 + 1 3 ⋅ 2 3 + ⋯ , 2 1 1 2 1 3 1 4 ⋯ 1 ⋅ 1 superscript 2 1 1 ⋅ 2 superscript 2 2 1 ⋅ 3 superscript 2 3 ⋯ {\displaystyle{\displaystyle\ln 2=1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\cdots% =\frac{1}{1\cdot 2^{1}}+\frac{1}{2\cdot 2^{2}}+\frac{1}{3\cdot 2^{3}}+\cdots,}}


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Symbols List

  • ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}} : principal branch of logarithm function
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This page was last edited on 28 January 2024, at 10:30.
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