For 10 points, identify this function whose nth value is the product of all integers less than or equal to n, denoted by an exclamation mark.
This function of n approaches a constant times n over e all to the nth power, according to Stirling's formula for it. The sum of the reciprocals of the values of this function is one way of finding e. The binomial coefficients can be written as a ratio of one of these functions over two other ones. When applied to 5 this function yields 120, and when applied to 4 it gives 24. For 10 points, identify this function whose nth value is the product of all integers less than or equal to n, denoted by an exclamation mark.
This function of n approaches a constant times n over e all to the nth power, according to Stirling's formula for it.
factorial