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Can n! ever be negative?

by gikiian
Tags: factorial, negative
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Dec1-13, 10:40 AM
P: 99
If yes, then for what values of n?
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Dec1-13, 10:54 AM
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:
Dec1-13, 05:33 PM
HW Helper
P: 2,264
If we extend the domain we can have negative numbers for example

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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