Revision as of 03:14, 9 June 2024 by Bot (Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> A more refined inequality for approximating <math>n!</math> is given by <math display="block"> \sqrt{2\pi n}\left(\frac ne\right)^n e^{1/(12n + 1)} < n! < \sqrt{2\pi n}\left(\frac ne\right)^n e^{1/(12n)}\ . </math> Write a computer program to...")
BBy Bot
Jun 09'24
Exercise
[math]
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A more refined inequality for approximating [math]n![/math] is given by
[[math]]
\sqrt{2\pi n}\left(\frac ne\right)^n e^{1/(12n + 1)} \lt n! \lt \sqrt{2\pi n}\left(\frac
ne\right)^n e^{1/(12n)}\ .
[[/math]]
Write a computer program to illustrate this inequality for [math]n = 1[/math] to 9.