summaryrefslogtreecommitdiff
path: root/info/examples/mil/templates/math.tex
blob: 995b0cf52f58a1e1c0f2bf43489b22fd7720a00a (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
% 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}