function formula math related searches

The behavior of () for an increasing positive variable is simple. It grows quickly, faster than an exponential function in fact. Asymptotically as → ∞, the magnitude of the gamma function is given by Stirling's formula

where is the golden ratio.It was derived by Binet in 1843, although the result was known to Euler, Daniel Bernoulli, and de Moivre more than a century earlier.