##DESCRIPTION
## Evaluate a limit
##ENDDESCRIPTION
##KEYWORDS("Derivative", "L'Hospital's rule")

## Shotwell cleaned
## lcao , PAID on 11-24-2003

## DBsubject('Calculus')
## DBchapter('Applications of Differentiation')
## DBsection('Indeterminate Forms and L'Hospital's Rule')
## Date('6/3/2002')
## Author('')
## Institution('')
## TitleText1('Calculus: Early Transcendentals')
## EditionText1('6')
## AuthorText1('Stewart')
## Section1('4.4')
## Problem1('61')
## TitleText2('Calculus: Early Transcendentals')
## EditionText2('1')
## AuthorText2('Rogawski')
## Section2('4.7')
## Problem2('43')

DOCUMENT();        # This should be the first executable line in the problem.

loadMacros(
"PGbasicmacros.pl",
"PGanswermacros.pl",
"PGauxiliaryFunctions.pl"
);

TEXT(beginproblem());
$showPartialCorrectAnswers = 1;

$a = random(3,9,1);

BEGIN_TEXT
$BR
Evaluate the limit using L'Hospital's rule if necessary.
\[ \lim_{ x \rightarrow +\infty } x^{$a / x} \]
$BR Answer: \{ans_rule(15) \}
$BR
END_TEXT

ANS(num_cmp(1));

ENDDOCUMENT();        # This should be the last executable line in the problem.