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--% 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
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