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DLMF:24.11.E3

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Formula:8211
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MaRDI QIDQ8211

  • Label: DLMF:24.11.E3


Digital Library of Mathematical Functions ID 24.11.E3

( - 1 ) n ⁢ E 2 ⁢ n ∼ 2 2 ⁢ n + 2 ⁢ ( 2 ⁢ n ) ! π 2 ⁢ n + 1 , asymptotically-equals superscript 1 𝑛 Euler-number-E 2 𝑛 superscript 2 2 𝑛 2 2 𝑛 superscript 𝜋 2 𝑛 1 {\displaystyle{\displaystyle(-1)^{n}E_{2n}\sim\frac{2^{2n+2}(2n)!}{\pi^{2n+1}}% ,}}


Constraint(s)

n → ∞ → 𝑛 {\displaystyle{\displaystyle n\to\infty}}

Symbols List

  • E n Euler-number-E 𝑛 {\displaystyle{\displaystyle E_{\NVar{n}}}} :
  • ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}} : asymptotic equality
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • ! {\displaystyle{\displaystyle!}} :
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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