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- Jan 30th 2011, 11:56 AMRandom Variableseries
- Jan 30th 2011, 01:22 PMchisigma
If we define the 'factorial function' as...

(1)

... with a little of patience we 'discover' that is...

(2)

... where is the 'Euler's constant'. To be continued in a succesive post...

Kind regards

- Jan 30th 2011, 02:32 PMRandom Variable
The answer is not zero.

- Jan 30th 2011, 03:06 PMchisigma
- Jan 30th 2011, 04:20 PMRandom Variable
The solution I had in mine is totally different.

so

Using the fact that (Integrate both sides of the Maclaurin series for and don't forget about the constant ).

The integrand is always positive, so you don't have to worry about something potentially going haywire when you switch the order of integration.

so - Jan 30th 2011, 05:26 PMchiph588@
- Jan 31st 2011, 01:24 PMDrexel28