DLMF:1.17.E19 (Q678)

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DLMF:1.17.E19
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    Statements

    test
    lim n → ∞ ⁡ ∫ - π π δ n ⁡ ( x - a ) ⁢ ϕ ⁢ ( x ) ⁢ d x = ϕ ⁢ ( a ) , subscript → 𝑛 superscript subscript 𝜋 𝜋 Dirac-delta-sequence 𝑛 𝑥 𝑎 italic-ϕ 𝑥 𝑥 italic-ϕ 𝑎 {\displaystyle{\displaystyle\lim_{n\to\infty}\int_{-\pi}^{\pi}\delta_{n}\left(% x-a\right)\phi(x)\mathrm{d}x=\phi(a),}}
    0 references
    DLMF id
    DLMF:1.17.E19
    0 references
    Symbols used
    Q10917
    test
    δ n ⁡ ( x ) Dirac-delta-sequence 𝑛 𝑥 {\displaystyle{\displaystyle\delta_{n}\left(\NVar{x}\right)}}
    xml-id
    C1.S17.SS1.p1.m6addec
    0 references
     
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