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diff --git a/info/examples/Practical_LaTeX/formulanote.tex b/info/examples/Practical_LaTeX/formulanote.tex new file mode 100644 index 0000000000..d5138783ae --- /dev/null +++ b/info/examples/Practical_LaTeX/formulanote.tex @@ -0,0 +1,20 @@ +% Sample file: formulanote.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} |