The product of 0 and anything is $0$, and seems like it would be reasonable to assume that $0! = 0$. I'm perplexed as to why I have to account for this condition in my factorial function (Trying …

Feb 6, 2021 · $$ 0! = \Gamma (1) = \int_0^ {\infty} e^ {-x} dx = 1 $$ If you are starting from the "usual" definition of the factorial, in my opinion it is best to take the statement $0! = 1$ as a …

I was playing with my calculator when I tried $1.5!$. It came out to be $1.32934038817$. Now my question is that isn't factorial for natural numbers only? Like $2!$ is $2\\times1$, but how do …

Why is the factorial of zero, one. What is the mathematical proof behind it?

Feb 8, 2011 · You haven't stated what your definition of factorial is. An inductive definition would have as the base case 0! = 1, so there's nothing to prove from that definition, for example.

Why is this? I know what a factorial is, so what does it actually mean to take the factorial of a complex number? Also, are those parts of the complex answer rational or irrational? Do …

n factorial is product of all numbers between n and 1. 0 factorial is (0 * 1 = 0). Why is 0 factorial 1? How can I proof this in mathematical way?

Jul 2, 2016 · If you'd define factorial n = product [1 .. n] in Haskell, then factorial 0 == product [1 .. 0] == product [] == 1. In this view, the value of $0!$ is $1$ because that's the identity element …

Aug 20, 2018 · How do you get the factorial of a decimal number using a pen and paper if it is possible? Example: Find the factorial of $0.5!$

How to calculate decimal factorials, like $0.78!$ [duplicate] Ask Question Asked 11 years, 1 month ago Modified 11 years, 1 month ago