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Formula:8209

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Digital Library of Mathematical Functions ID 24.11.E1

( - 1 ) n + 1 ⁢ B 2 ⁢ n ∼ 2 ⁢ ( 2 ⁢ n ) ! ( 2 ⁢ π ) 2 ⁢ n , asymptotically-equals superscript 1 𝑛 1 Bernoulli-number-B 2 𝑛 2 2 𝑛 superscript 2 𝜋 2 𝑛 {\displaystyle{\displaystyle(-1)^{n+1}B_{2n}\sim\frac{2(2n)!}{(2\pi)^{2n}},}}


Constraint(s)

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

Symbols List

  • B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\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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