0!

Hey /sci/ I usually don't lurk here but I have a question for you guys.


I don't understand how 0! = 1
I need to write a proof using "n" as a variable and without using zero in the actual proof but I'm completely stumped.

Can someone please explain this to me??

Actually, you should look for a book, "Gamma" bye Julian Havil. There's a chapter devoted to the Gamma Function, where it is discussed as a generalized factorial function (when the input is displaced by 1), and can be used to get interesting results such as (-1/2)! which gives something like the square root of pi :D. The three important steps that associate the general factorial to the gamma function are given and I believe it suffices to solve for gamma(1) to get what you need. Sincerely

R.
Muahahahaha, killing flies with nukes is my specialty :D