% NOTE: Latex is case sensitive.

\documentclass{article}

\usepackage{amsmath}
\newcommand{\sinc}{\operatorname{sinc}}

\begin{document}
\begin{center}
\LARGE{\textbf{Latex Tutorial 3}}
\end{center}

\begin{itemize}

\item Find 
\[
\lim_{n \rightarrow \infty} \frac{1}{n}.
\]

\item Find $\det(A)$, where
\[
A = \left(
\begin{array}{ccc}
1 & 2 & 3 \\
4 & 5 & 6 \\
7 & 8 & 9
\end{array}
\right).
\]

\item 
\begin{eqnarray*}
x & = & 1 + 2 + 3 + 4 \\
  & = & 10.
\end{eqnarray*}

\item Find
\[
\left| \begin{array}{cc}
2 & 3 \\
4 & 5 
\end{array}
\right|.
\]

\item Let 
\[
v = \left(
\begin{array}{c}
\left| \begin{array}{cc}
2 & 3 \\
4 & 5 
\end{array}
\right|
\\
7
\\
8
\end{array}
\right).
\]

\item Let
\[
f(x) = 
\left\{
\begin{array}{ll}
x^2 & \text{if } x < 0 \\
2x-3 & \text{if } x \geq 0
\end{array}
\right.
\]

\end{itemize}

\end{document}
	