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Can n! ever be negative?

by gikiian
Tags: factorial, negative
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gikiian
#1
Dec1-13, 10:40 AM
P: 99
If yes, then for what values of n?
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R136a1
#2
Dec1-13, 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
lurflurf
#3
Dec1-13, 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)!

gikiian
#4
Dec1-13, 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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