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diff --git a/Master/texmf-dist/doc/latex/guide-to-latex/exercises/chap7/exer7-8.tex b/Master/texmf-dist/doc/latex/guide-to-latex/exercises/chap7/exer7-8.tex new file mode 100644 index 00000000000..b163e13ded6 --- /dev/null +++ b/Master/texmf-dist/doc/latex/guide-to-latex/exercises/chap7/exer7-8.tex @@ -0,0 +1,10 @@ +\documentclass{article} +\setlength{\textwidth}{135mm} +\begin{document} +\noindent +The gamma function $\Gamma(x)$ is defined as +\[ \Gamma(x)\equiv\lim_{n\to\infty}\prod_{\nu=0}^{n-1}\frac{n!n^{x-1}}{x+\nu} + = \lim_{n\to\infty}\frac{n!n^{x-1}}{x(x+1)(x+2)\cdots(x+n-1)} + \equiv\int_0^\infty e^{-t}t^{x-1}\,dt \] +The integral definition is valid only for $x>0$ (2nd Euler integral). +\end{document} |