DLMF:4.4.E14 (Q1548)

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DLMF:4.4.E14
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    Statements

    Defining formula
    lim x → 0 ⁡ x a ⁢ ln ⁡ x = 0 , subscript → 𝑥 0 superscript 𝑥 𝑎 𝑥 0 {\displaystyle{\displaystyle\lim_{x\to 0}x^{a}\ln x=0,}}
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    DLMF id
    DLMF:4.4.E14
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    constraint
    ℜ ⁡ a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}}
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    Symbols used
    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2addec
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    Q10811
    Defining formula
    ℜ ⁡ absent {\displaystyle{\displaystyle\Re}}
    xml-id
    C1.S9.E2.m1aadec
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