aboutsummaryrefslogtreecommitdiff
path: root/src/input/triglim.input.pamphlet
diff options
context:
space:
mode:
authordos-reis <gdr@axiomatics.org>2007-08-14 05:14:52 +0000
committerdos-reis <gdr@axiomatics.org>2007-08-14 05:14:52 +0000
commitab8cc85adde879fb963c94d15675783f2cf4b183 (patch)
treec202482327f474583b750b2c45dedfc4e4312b1d /src/input/triglim.input.pamphlet
downloadopen-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz
Initial population.
Diffstat (limited to 'src/input/triglim.input.pamphlet')
-rw-r--r--src/input/triglim.input.pamphlet52
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}