\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}