% Sample file: mathB.tex
\documentclass{sample}
\begin{document}
In first year calculus, we define intervals such
% as $(u, v)$ and $(u, \infty)$. Such an interval
as $(u, v)$ and (u, \infty)$. Such an interval
is a \emph{neighborhood} of $a$
if $a$ is in the interval. Students should
realize that $\infty$ is only a
symbol, not a number. This is important since
we soon introduce concepts
such as $\lim_{x \to \infty} f(x)$.
%such as $\lim_{x \to \infty f(x)$.
When we introduce the derivative
\[
\lim_{x \to a} \frac{f(x) - f(a)}{x - a}
% \lim_{x \to a} \frac{f(x) - f(a) x - a}
\]
we assume that the function is defined and continuous
in a neighborhood of $a$.
\end{document}