Stirling公式的证明综述

Proving of Stirling Formular

综述了分析学中的Stirling公式:n!^(2nπ)^(1/2)〔n/e〕n的三种证明方法,以期对理论研究中n!阶的估计、数列极限等问题的简便的算法、方法论的探讨及教学实践有所帮助.

This article sums up three methods of proving Stirling formular n!-√（2nπ（n/2）^n of mathematicanalytics,which helps the estimation of the order of n! in theoretical research and provides simple algorithms for the limit of sequence of number.