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authorNorbert Preining <norbert@preining.info>2019-09-02 13:46:59 +0900
committerNorbert Preining <norbert@preining.info>2019-09-02 13:46:59 +0900
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+% Sample file: math.tex
+\documentclass{sample}
+
+\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}