# Math Help - Cauchy distribution?

1. ## Cauchy distribution?

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2. Originally Posted by ninano1205
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The reason we can't say E(X) = 0 for a Cauchy distribution is that the expected value does not exist. Try looking at the integral for E(X) and see if you can show it diverges.

3. ## Integral for E(x)??

I understand this distribution has infinitely long tails so E(x) does not exist bt how can we prove that mathematically?? from the equations?

4. Originally Posted by ninano1205
I understand this distribution has infinitely long tails so E(x) does not exist bt how can we prove that mathematically?? from the equations?
Yes. None of the relevant integrals have a finite answer.