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-% Sample file: math.tex
-% Typeset with LaTeX format
-\documentclass{article}
-
-\begin{document}
-In first year calculus, we define intervals such 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 $\lim_{x \to \infty} f(x)$.
-
-When we introduce the derivative
-\[
- \lim_{x \to a} \frac{f(x) - f(a)}{x - a},
-\]
-we assume that the function is defined and continuous
-in a neighborhood of $a$.
-\end{document}