DLMF:4.4.E13 (Q1547)

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DLMF:4.4.E13
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    Statements

    Defining formula
    lim x → ∞ ⁡ x - a ⁢ ln ⁡ x = 0 , subscript → 𝑥 superscript 𝑥 𝑎 𝑥 0 {\displaystyle{\displaystyle\lim_{x\to\infty}x^{-a}\ln x=0,}}
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    DLMF id
    DLMF:4.4.E13
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    constraint
    ℜ ⁡ a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}}
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