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author | Karl Berry <karl@freefriends.org> | 2009-05-23 00:23:51 +0000 |
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committer | Karl Berry <karl@freefriends.org> | 2009-05-23 00:23:51 +0000 |
commit | a683c3d7e9fac38ec713f23fb6b9d2c7143aea82 (patch) | |
tree | 424ab223921f85fd3f167a4ccd0e2d37d05c2927 /Master/texmf-dist/doc/latex/guide-to-latex/exercises/chap7/exer7-7.tex | |
parent | 5beb5368a684995153c8566797ba054f21c666af (diff) |
move english latex doc out of texmf-doc
git-svn-id: svn://tug.org/texlive/trunk@13412 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/doc/latex/guide-to-latex/exercises/chap7/exer7-7.tex')
-rw-r--r-- | Master/texmf-dist/doc/latex/guide-to-latex/exercises/chap7/exer7-7.tex | 10 |
1 files changed, 10 insertions, 0 deletions
diff --git a/Master/texmf-dist/doc/latex/guide-to-latex/exercises/chap7/exer7-7.tex b/Master/texmf-dist/doc/latex/guide-to-latex/exercises/chap7/exer7-7.tex new file mode 100644 index 00000000000..8ee134a9963 --- /dev/null +++ b/Master/texmf-dist/doc/latex/guide-to-latex/exercises/chap7/exer7-7.tex @@ -0,0 +1,10 @@ +\documentclass{article} +\begin{document} +\noindent +Applying l'Hopital's rule, one has +\[ \lim_{x\to0}\frac{\ln\sin\pi x}{\ln\sin x} + = \lim_{x\to0}\frac{\pi\frac{\cos\pi x}{\sin\pi x}}{\frac{\cos x}{\sin x}} + = \lim_{x\to0}\frac{\pi\tan x}{\tan\pi x} + = \lim_{x\to0}\frac{\pi/\cos^2 x}{\pi/\cos^2 \pi x} + = \lim_{x\to0}\frac{\cos^2\pi x}{\cos^2 x} = 1 \] +\end{document} |