%%
%% The LaTeX Companion, 3ed
%%
%% Example 11-6-2 on page II-192 in "Operator and function names".
%%
%% Copyright (C) 2022 Frank Mittelbach
%%
%% It may be distributed and/or modified under the conditions
%% of the LaTeX Project Public License, either version 1.3c
%% of this license or (at your option) any later version.
%%
%% See
https://www.latex-project.org/lppl.txt for details.
%%
\documentclass{tlc3examargin}
\pagestyle{empty}
\setcounter{page}{6}
\setlength\textwidth{147.0pt}
% Shorten the vertical size of the example ...
\AtBeginDocument{%
\setlength\abovedisplayskip{.7\abovedisplayskip}%
\setlength\belowdisplayskip{.7\belowdisplayskip}%
}
%StartShownPreambleCommands
\usepackage{amsmath} \newcommand\abs[1]{\lvert#1\rvert}
%StopShownPreambleCommands
\begin{document}
\begin{gather*}
\lim_{x \rightarrow 0} \frac{ \sin^2(x) }{ x^2 }=1 \\
\varliminf_{n \rightarrow \infty}
\abs{a_{n+1}} / \abs{a_n} = 0 \\
\varinjlim (m_i^\lambda \cdot M)^* \le
\varprojlim_{A/p\rightarrow\lambda(A)}A_p \le 0
\end{gather*}
\end{document}
