Formula:632

Digital Library of Mathematical Functions ID 1.17.E3

${\displaystyle{\displaystyle\lim_{n\to\infty}\int_{-\infty}^{\infty}\delta_{n}\left(x-a\right)\phi(x)\mathrm{d}x=\phi(a),}}$

Symbols List

• ${\displaystyle{\displaystyle\delta_{n}\left(\NVar{x}\right)}}$:
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle\phi(x)}}$: continuous function
 

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