52 factorial seconds in years

Last non Zero digit of a Factorial Ask Question Asked 14 years ago Modified 2 years ago So, basically, factorial gives us the arrangements. Now, the question is why do we need to know the factorial of a negative number?, let's say -5. How can we imagine that there are -5 seats, and we need to arrange it? Something, which doesn't exist shouldn't have an arrangement right? Can someone please throw some light on it?. 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 complex factorials give rise to any interesting geometric shapes/curves on the complex plane? 4 $$ \frac {n!} {e^n} = \prod_ {i=1}^n\frac {i} {e}. $$ Since $$ \lim_ {i \to \infty} \frac {i} {e} = \infty, $$ clearly the factorial is growing faster than the exponential. limits - Does this prove that the factorial grows faster than the ...

Why is 0 factorial equal to 1? Is there any pure basic mathematical ... The gamma function, shown with a Greek capital gamma $\Gamma$, is a function that extends the factorial function to all real numbers, except to the negative integers and zero, for which it is not defined. $\Gamma (x)$ is related to the factorial in that it is equal to $ (x-1)!$.