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DLMF:13.29.E4 - MaRDI portal

DLMF:13.29.E4 (Q5368)

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DLMF:13.29.E4
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    Statements

    DLMF defining formula
    y ⁢ ( n ) = 1 + O ⁡ ( n - 1 ) , 𝑦 𝑛 1 Big-O superscript 𝑛 1 {\displaystyle{\displaystyle y(n)=1+O\left(n^{-1}\right),}}
    0 references
    constraint
    n → ∞ → 𝑛 {\displaystyle{\displaystyle n\to\infty}}
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    Symbols used
    order not exceeding
    DLMF defining formula
    O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    xml-id
    C2.S1.E3.m2adec
    0 references
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C13.S1.XMD2.m1bdec
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    solution (locally)
    DLMF defining formula
    y ⁢ ( n ) 𝑦 𝑛 {\displaystyle{\displaystyle y(n)}}
    xml-id
    C13.S29.XMD1.m1cdec
    0 references
     
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