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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/explim.input.pamphlet
downloadopen-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz
Initial population.
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+\documentclass{article}
+\usepackage{axiom}
+\begin{document}
+\title{\$SPAD/src/input explim.input}
+\author{The Axiom Team}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\section{License}
+<<license>>=
+--Copyright The Numerical Algorithms Group Limited MCMXCII.
+@
+<<*>>=
+<<license>>
+
+--% Limits involving essential singularities of the exponential function
+-- Some of these limits were taken from bug reports submitted before additions
+-- and 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
+
+limit(x/exp(x),x = %plusInfinity) -- 0
+
+limit(x**10000/exp(x),x = %plusInfinity) -- 0
+
+limit(x**(10**20)/exp(x),x = %plusInfinity) -- 0
+
+limit(x**h/exp(x),x = %plusInfinity) -- 0
+
+limit(x/exp(x),x = %minusInfinity) -- %minusInfinity
+
+limit(x**10000/exp(x),x = %minusInfinity) -- %plusInfinity
+
+limit(x**(10**20)/exp(x),x = %minusInfinity) -- %plusInfinity
+
+limit(x**h/exp(x),x = %minusInfinity) -- "failed"
+
+limit(exp(-x) * sinh(x),x = %plusInfinity) -- 1/2
+
+limit(exp(-x) * cosh(x),x = %plusInfinity) -- 1/2
+
+limit(exp(-x) * exp(x),x = %plusInfinity) -- 1
+
+limit((x + 1)**(x + 1)/x**x - x**x/(x - 1)**(x - 1),x = %plusInfinity) -- %e
+@
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}