View of /trunk/NationalProblemLibrary/ma122DB/set8/s4_4_61.pg

    1 ##DESCRIPTION
    2 ## Evaluate a limit
    3 ##ENDDESCRIPTION
    4 ##KEYWORDS("Derivative", "L'Hospital's rule")
    5 
    6 ## Shotwell cleaned
    7 ## lcao , PAID on 11-24-2003
    8 
    9 ## DBsubject('Calculus')
   10 ## DBchapter('Applications of Differentiation')
   11 ## DBsection('Indeterminate Forms and L'Hospital's Rule')
   12 ## Date('6/3/2002')
   13 ## Author('')
   14 ## Institution('')
   15 ## TitleText1('Calculus: Early Transcendentals')
   16 ## EditionText1('6')
   17 ## AuthorText1('Stewart')
   18 ## Section1('4.4')
   19 ## Problem1('61')
   20 ## TitleText2('Calculus: Early Transcendentals')
   21 ## EditionText2('1')
   22 ## AuthorText2('Rogawski')
   23 ## Section2('4.7')
   24 ## Problem2('43')
   25 
   26 DOCUMENT();        # This should be the first executable line in the problem.
   27 
   28 loadMacros(
   29 "PGbasicmacros.pl",
   30 "PGanswermacros.pl",
   31 "PGauxiliaryFunctions.pl"
   32 );
   33 
   34 TEXT(beginproblem());
   35 $showPartialCorrectAnswers = 1;
   36 
   37 $a = random(3,9,1);
   38 
   39 BEGIN_TEXT
   40 $BR
   41 Evaluate the limit using L'Hospital's rule if necessary.
   42 \[ \lim_{ x \rightarrow +\infty } x^{$a / x} \]
   43 $BR Answer: \{ans_rule(15) \}
   44 $BR
   45 END_TEXT
   46 
   47 ANS(num_cmp(1));
   48 
   49 ENDDOCUMENT();        # This should be the last executable line in the problem.
   50