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author | dos-reis <gdr@axiomatics.org> | 2007-08-14 05:14:52 +0000 |
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committer | dos-reis <gdr@axiomatics.org> | 2007-08-14 05:14:52 +0000 |
commit | ab8cc85adde879fb963c94d15675783f2cf4b183 (patch) | |
tree | c202482327f474583b750b2c45dedfc4e4312b1d /src/input/triglim.input.pamphlet | |
download | open-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz |
Initial population.
Diffstat (limited to 'src/input/triglim.input.pamphlet')
-rw-r--r-- | src/input/triglim.input.pamphlet | 52 |
1 files changed, 52 insertions, 0 deletions
diff --git a/src/input/triglim.input.pamphlet b/src/input/triglim.input.pamphlet new file mode 100644 index 00000000..88aed759 --- /dev/null +++ b/src/input/triglim.input.pamphlet @@ -0,0 +1,52 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input triglim.input} +\author{Clifton J. Williamson} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\section{License} +<<license>>= +--Copyright The Numerical Algorithms Group Limited MCMXCII. +@ +<<*>>= +<<license>> + +--% Limits involving trig and inverse trig functions +-- Some of these limits were taken from bug reports submitted before +-- changes were made to limit and related series packages. +-- Author: Clifton J. Williamson +-- Date Created: 27 August 1992 +-- Date Last Updated: 27 August 1992 +-- Keywords: limit, trigonometric function, inverse trigonometric function +-- References: + +)clear all + +-- in each case, the argument to 'atan' has a pole and the left-hand +-- and right-hand limits differ + +limit(atan(1/sin(x)),x = 0) + +limit(atan(sqrt(1 - x**2)/x),x = 0) + +limit(atan(-sin(x)/(cos(x) + a)),x = acos(-a)) + +limit(atan(sin(x)/(cos(x) + a)),x = acos(-a)) + +-- we'll get these next two if sqrt(1 - a**2) is considered to be +-- positive by SIGNEF + +limit(atan(1/(cos(x) + a)),x = acos(-a)) + +limit(atan(1/(sin(x) + a)),x = asin(-a)) +@ +\eject +\begin{thebibliography}{99} +\bibitem{1} nothing +\end{thebibliography} +\end{document} |