aboutsummaryrefslogtreecommitdiff
path: root/src/input/explim.input.pamphlet
blob: cf3d73d68a1acf9d6537931a1da8e218c9c32cf7 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
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}
<<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}