DLMF:24.11.E1 (Q7516)

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DLMF:24.11.E1
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    Statements

    Defining formula
    ( - 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}},}}
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    DLMF id
    DLMF:24.11.E1
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    constraint
    n → ∞ → 𝑛 {\displaystyle{\displaystyle n\to\infty}}
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    Symbols used
    Q11109
    Defining formula
    B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}}
    xml-id
    C24.S2.SS1.m1adec
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    asymptotic equality
    Defining formula
    ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.E1.m2adec
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    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
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    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5adec
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