Image: Mplwp factorial stirling loglog2

Description: Plot of the logarithms of the factorial (gamma function) and Stirling's approximation with two and three terms in the interval [1, 10³] with double-logarithmic scale:

y

1

( n ) = ln ⁡ ( n  ! )

{\displaystyle y_{1}(n)=\ln(n!)}

y

2

( n ) = n ln ⁡ n − n +

1 2

ln ⁡ ( 2 π n )

{\displaystyle y_{2}(n)=n\ln n-n+{\frac {1}{2}}\ln(2\pi n)}

y

2

( n ) = n ln ⁡ n − n

{\displaystyle y_{2}(n)=n\ln n-n}
Author: Geek3
Usage Terms: Creative Commons Attribution-Share Alike 3.0
License: CC-BY-SA-3.0
License Link: http://creativecommons.org/licenses/by-sa/3.0/
Attribution Required?: Yes