##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.