In all these formulas the symbol e=2.71828....
It is interesting that for (0)! formula C gives: (0)! = 1.0233... instead of (0)! = 1 which it is by
definition.

The factorial function is also related to the GAMMA function which is continuous and so allows the
extension of the definition of factorials to non-integer arguments. My notation is awkward because
the e-mail server does not allow symbols. Sorry.

Vince Calder
As you know, factorials work only on integrer numbers, i.e. 6! = 6*5*4*3*2*1. But mathematicians have
generalized this to the Gamma function, which reduces to the factorials for whole numbers. But it has
values in between. So probably your calculator has this function (which goes up and down quite a lot,
it is a pretty wild function) built in.
See if gamma(1/2) = sqrt (pi).

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