DLMF:4.5.E1 (Q1554)

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DLMF:4.5.E1
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    Statements

    Defining formula
    x 1 + x < ln ⁡ ( 1 + x ) < x , 𝑥 1 𝑥 1 𝑥 𝑥 {\displaystyle{\displaystyle\frac{x}{1+x}<\ln\left(1+x\right)<x,}}
    0 references
    DLMF id
    DLMF:4.5.E1
    0 references
    constraint
    x ≠ 0 𝑥 0 {\displaystyle{\displaystyle x\neq 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.m2adec
    0 references
    Q11218
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C4.S1.XMD6.m1dec
    0 references
     
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