From ab8cc85adde879fb963c94d15675783f2cf4b183 Mon Sep 17 00:00:00 2001 From: dos-reis Date: Tue, 14 Aug 2007 05:14:52 +0000 Subject: Initial population. --- src/input/explim.input.pamphlet | 58 +++++++++++++++++++++++++++++++++++++++++ 1 file changed, 58 insertions(+) create mode 100644 src/input/explim.input.pamphlet (limited to 'src/input/explim.input.pamphlet') diff --git a/src/input/explim.input.pamphlet b/src/input/explim.input.pamphlet new file mode 100644 index 00000000..cf3d73d6 --- /dev/null +++ b/src/input/explim.input.pamphlet @@ -0,0 +1,58 @@ +\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} +<>= +--Copyright The Numerical Algorithms Group Limited MCMXCII. +@ +<<*>>= +<> + +--% 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} -- cgit v1.2.3