It can be guessed with Stirling's approximation, and it outgrows all polynomial and exponential functions.
It can be generalized by the gamma function, which satisfies the identity that n times gamma of n is equal to gamma of n plus one. It can be guessed with Stirling's approximation, and it outgrows all polynomial and exponential functions. The nth derivative of x to the n with respect to x is this function of n. FTP, name this unary operation that gives the number of ways to rearrange a finite number of distinct objects in a line, written with an exclamation mark.          |
It can be generalized by the gamma function, which satisfies the identity that n times gamma of n is equal to gamma of n plus one.
{Factorial}