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- January 30th 2011, 10:56 AMRandom Variableseries
- January 30th 2011, 12:22 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

- January 30th 2011, 01:32 PMRandom Variable
The answer is not zero.

- January 30th 2011, 02:06 PMchisigma
- January 30th 2011, 03:20 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 - January 30th 2011, 04:26 PMchiph588@
- January 31st 2011, 12:24 PMDrexel28