- #1

RJLiberator

Gold Member

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## Homework Statement

Show that this is a valid representation of the Dirac Delta function, where ε is positive and real:

[tex] \delta(x) = \frac{1}{\pi}\lim_{ε \rightarrow 0}\frac{ε}{x^2+ε^2} [/tex]

## Homework Equations

https://en.wikipedia.org/wiki/Dirac_delta_function

## The Attempt at a Solution

I just need help on how to start this one. I'm sure I can bring it to it's logical conclusion, but I have no starting point known.

I've tried looking for different definitions, but to no avail. Is there any hint that you can give me to start this?