什么是「斯特林公式」？ - 知乎
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老师的回答，说明一下这个公式在数学上的一些应用和详细证明。Stirling公式可以用来取阶乘的近似值。一般可以表示为 n!=\sqrt {2\pi n}\left ( \frac {n} {e} \right)^ {n} ，在数学上常用的形式是： \lim_ {n \rightarrow +\infty} {\frac {e^ {n}n!} {n^ {n}\sqrt n}}=\sqrt {2\pi}\\ Stirling公式还可以看作是Gamma函数的渐进近似。我们 ...
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