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DLMF:4.4.E15 - MaRDI portal

DLMF:4.4.E15 (Q1592)

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DLMF:4.4.E15
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    Statements

    DLMF defining formula
    lim x → ∞ ⁡ x a ⁢ e - x = 0 , subscript → 𝑥 superscript 𝑥 𝑎 superscript 𝑒 𝑥 0 {\displaystyle{\displaystyle\lim_{x\to\infty}x^{a}e^{-x}=0,}}
    0 references
    comment
    Warning: Falling back to standard tex;
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    Symbols used
    base of natural logarithm
    DLMF defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2aidec
    0 references
    real or complex constant
    DLMF defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C4.S1.XMD4.m1bdec
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    real variable
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C4.S1.XMD6.m1bdec
    0 references

    Identifiers

     
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