DLMF:7.8.E3 (Q2389)

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DLMF:7.8.E3
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    Statements

    test
    π 2 ⁢ π ⁢ x + 2 ≤ 𝖬 ⁡ ( x ) < 1 x + 1 , 𝜋 2 𝜋 𝑥 2 Mills-ratio 𝑥 1 𝑥 1 {\displaystyle{\displaystyle\frac{\sqrt{\pi}}{2\sqrt{\pi}x+2}\leq\mathsf{M}% \left(x\right)<\frac{1}{x+1},}}
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    DLMF id
    DLMF:7.8.E3
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    constraint
    x ≥ 0 𝑥 0 {\displaystyle{\displaystyle x\geq 0}}
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    Symbols used
    Mills’ ratio
    test
    𝖬 ⁡ ( x ) Mills-ratio 𝑥 {\displaystyle{\displaystyle\mathsf{M}\left(\NVar{x}\right)}}
    xml-id
    C7.S8.E1.m2abdec
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    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aadec
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    Q11313
    test
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C7.S1.XMD1.m1bdec
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