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$$\lim_{\alpha\to 0}\alpha\int_{-\infty}^{+\infty}\frac{f(x + u)}{\alpha^2 + u^2}du = \pi \frac{\lim_{\alpha\to0}f(x+\alpha) + f(x - \alpha)}{2}$$

Any ideas, please

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    Do you now Dirac's delta distribution? – 2017-01-20
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    @tired, now yes, but it don't give me ideas how to start. Do you know some variant how to begin ? – 2017-02-26

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