DLMF:4.4.E13 (Q1547): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10811 / rank
 
Normal rank
Property / Symbols used: Q10811 / qualifier
 
Defining formula:

ℜ ⁡ absent {\displaystyle{\displaystyle\Re}}

\realpart@@
Property / Symbols used: Q10811 / qualifier
 
xml-id: C1.S9.E2.m1adec

Revision as of 18:06, 1 January 2020

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English
DLMF:4.4.E13
No description defined

    Statements

    Defining formula
    lim x → ∞ ⁡ x - a ⁢ ln ⁡ x = 0 , subscript → 𝑥 superscript 𝑥 𝑎 𝑥 0 {\displaystyle{\displaystyle\lim_{x\to\infty}x^{-a}\ln x=0,}}
    0 references
    DLMF id
    DLMF:4.4.E13
    0 references
    constraint
    ℜ ⁡ a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}}
    0 references
    Symbols used
    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2acdec
    0 references
    Q10811
    Defining formula
    ℜ ⁡ absent {\displaystyle{\displaystyle\Re}}
    xml-id
    C1.S9.E2.m1adec
    0 references
     
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