DLMF:6.16.E4 (Q2313)

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DLMF:6.16.E4
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    Statements

    Defining formula
    R n ⁢ ( x ) = O ⁡ ( n - 1 ) , subscript 𝑅 𝑛 𝑥 Big-O superscript 𝑛 1 {\displaystyle{\displaystyle R_{n}(x)=O\left(n^{-1}\right),}}
    0 references
    DLMF id
    DLMF:6.16.E4
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    constraint
    n → ∞ → 𝑛 {\displaystyle{\displaystyle n\to\infty}}
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    Symbols used
    order not exceeding
    Defining formula
    O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    xml-id
    C2.S1.E3.m2adec
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    Q11307
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C6.S1.XMD1.m1cdec
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    Q11308
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C6.S1.XMD3.m1bdec
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    remainder term (locally)
    Defining formula
    R n ⁢ ( x ) subscript 𝑅 𝑛 𝑥 {\displaystyle{\displaystyle R_{n}(x)}}
    xml-id
    C6.S16.XMD2.m1bdec
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