DLMF:2.10.E29 (Q1016)

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DLMF:2.10.E29
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    Statements

    Defining formula
    f n = g n + o ⁡ ( r - n ) , subscript 𝑓 𝑛 subscript 𝑔 𝑛 little-o superscript 𝑟 𝑛 {\displaystyle{\displaystyle f_{n}=g_{n}+o\left(r^{-n}\right),}}
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    DLMF id
    DLMF:2.10.E29
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    constraint
    n → ± ∞ → 𝑛 plus-or-minus {\displaystyle{\displaystyle n\to\pm\infty}}
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    Symbols used
    order less than
    Defining formula
    o ⁡ ( x ) little-o 𝑥 {\displaystyle{\displaystyle o\left(\NVar{x}\right)}}
    xml-id
    C2.S1.E2.m2adec
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    Q11128
    Defining formula
    f n subscript 𝑓 𝑛 {\displaystyle{\displaystyle f_{n}}}
    xml-id
    C2.S10.XMD14.m1cdec
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    Q11129
    Defining formula
    r 𝑟 {\displaystyle{\displaystyle r}}
    xml-id
    C2.S10.XMD15.m1cdec
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    Q11132
    Defining formula
    g n subscript 𝑔 𝑛 {\displaystyle{\displaystyle g_{n}}}
    xml-id
    C2.S10.XMD18.m1bdec
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