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Can n! ever be negative? 
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#1
Dec113, 10:40 AM

P: 99

If yes, then for what values of n?



#2
Dec113, 10:54 AM

Newcomer
P: 341

We usually only define ##n!## for natural numbers ##n##. Then ##n!## can never be negative.
There is however a very natural extension of the factorial, this is called the Pi function (which is just a translation of the Gamma function). This can indeed become negative as you can see from the graph: http://en.wikipedia.org/wiki/Gamma_function 


#3
Dec113, 05:33 PM

HW Helper
P: 2,264

If we extend the domain we can have negative numbers for example
1~(3.74768264672741260139148848269149969586163939513235551205229915)! 1~(3.45702473822080062303945414765117954323659790903378442096479450)! 


#4
Dec113, 07:08 PM

P: 99

Can n! ever be negative?
THAT is what I wanted to see. Thank you very much Sir.



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