%%
%% The LaTeX Companion, 2ed (second printing August 2004)
%%
%% Example 8-6-2 on page 500.
%%
%% Copyright (C) 2004 Frank Mittelbach, Michel Goossens,
%%    Johannes Braams, David Carlisle, and Chris Rowley
%%
%% It may be distributed and/or modified under the conditions
%% of the LaTeX Project Public License, either version 1.3
%% of this license or (at your option) any later version.
%%
%% See http://www.latex-project.org/lppl.txt for details.
%%

\documentclass{ttctexa}
\pagestyle{empty}
\setcounter{page}{6}
\setlength\textwidth{135.0pt}

\StartShownPreambleCommands
\usepackage[fleqn]{amsmath}
\newcommand\abs[1]{\lvert#1\rvert}
\setlength\mathindent{0pt}
\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}