deletions | additions       diff --git a/ratio.tex b/ratio.tex  index bbfcac5..13f25f9 100644  --- a/ratio.tex  +++ b/ratio.tex 
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\:&=\:\lim_{n\to\infty}\left|\:\frac{9}{(n\:+\:2)}\hspace{1em}\cdot\hspace{1em}\frac{(n\:+\:1)\cdot2^{(-2)}}{1}\:\right| \\[1em]  \:&=\:\lim_{n\to\infty}\left|\:\frac{9}{(n\:+\:2)}\hspace{1em}\cdot\hspace{1em}\frac{(n\:+\:1)}{2^{2}}\:\right| \\[1em]  \:&=\:\lim_{n\to\infty}\left|\:\frac{9}{(n\:+\:2)}\hspace{1em}\cdot\hspace{1em}\frac{(n\:+\:1)}{4}\:\right| \\[1em]  \:&=\:\lim_{n\to\infty}\left|\:\frac{9(n\:+\:1)}{4(n\:+\:2)}\:\right| \\[1em]  \end{align}  \end{document}