(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove the statement

3. The attempt at a solution

I am clueless as to how I would go about doing this, I know the basic properties. I think it has to do with using epsilon somewhere and taking the limit as epsilon approaches zero, as shown here:

http://www-thphys.physics.ox.ac.uk/people/JohnMagorrian/mm/dirac.pdf

but I really have no idea how they're using it. The prof did something similar in class but he used -epsilon to epsilon in the limits of integration to show that the integral of δ(x)f(x) is just f(0).

Pretty mysterious to me, any help is greatly appreciated.

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# Proof of Dirac delta sifting property.

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