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1.15.E30 - MaRDI portal

1.15.E30 (Q541)

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1.15.E30
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    Statements

    DLMF defining formula
    lim ϵ → 0 + ⁡ ∫ - ∞ ∞ e - ϵ ⁢ | t | ⁢ f ⁢ ( t ) ⁢ d t = L . subscript → italic-ϵ limit-from 0 subscript superscript superscript 𝑒 italic-ϵ 𝑡 𝑓 𝑡 𝑡 𝐿 {\displaystyle{\displaystyle\lim_{\epsilon\to 0+}\int^{\infty}_{-\infty}e^{-% \epsilon|t|}f(t)\mathrm{d}t=L.}}
    0 references
    Symbols used
    differential of x
    DLMF defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1afdec
    0 references
    base of natural logarithm
    DLMF defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2ahdec
    0 references
    integral
    DLMF defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3afdec
    0 references

    Identifiers

     
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