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Diffstat (limited to 'Master/texmf-dist/doc/latex/math-into-latex/templates/mathb.tex')
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diff --git a/Master/texmf-dist/doc/latex/math-into-latex/templates/mathb.tex b/Master/texmf-dist/doc/latex/math-into-latex/templates/mathb.tex new file mode 100644 index 00000000000..4a1d4bbc1c3 --- /dev/null +++ b/Master/texmf-dist/doc/latex/math-into-latex/templates/mathb.tex @@ -0,0 +1,24 @@ +% Sample file: mathB.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 + $(u, v)$ 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} |