View of /trunk/NationalProblemLibrary/ma123DB/set11/s11_5_15.pg

    1 ##KEYWORDS('Sequences', 'Comparison Test')
    2 ##DESCRIPTION
    3 ## Determine if a series converges
    4 ##ENDDESCRIPTION
    5 
    6 ## Shotwell cleaned
    7 
    8 ## DBsubject('Calculus')
    9 ## DBchapter('Infinite Sequences and Series')
   10 ## DBsection('Alternating Series')
   11 ## Date('6/3/2002')
   12 ## Author('')
   13 ## Institution('')
   14 ## TitleText1('Calculus Early Transcendentals')
   15 ## EditionText1('4')
   16 ## AuthorText1('Stewart')
   17 ## Section1('11.5')
   18 ## Problem1('15')
   19 
   20 DOCUMENT();        # This should be the first executable line in the problem.
   21 
   22 loadMacros(
   23 "PGbasicmacros.pl",
   24 "PGanswermacros.pl",
   25 "PGauxiliaryFunctions.pl"
   26 );
   27 
   28 TEXT(beginproblem());
   29 $showPartialCorrectAnswers = 1;
   30 
   31 $a = random(1,4,1);
   32 $b = random(5,9,1);
   33 
   34 BEGIN_TEXT
   35 Determine whether the following series converges or diverges.
   36 \[\sum_{n=1}^\infty\frac{ \cos(n\pi) }{ n^{$a/$b} }\] $BR
   37 Input $BITALIC C $EITALIC for convergence and $BITALIC D $EITALIC for divergence: \{ans_rule(1)\}
   38 $BR$BR $BBOLD Note: $EBOLD You have only one chance to enter your answer!
   39 END_TEXT
   40 
   41 ANS(str_cmp("C") );
   42 
   43 ENDDOCUMENT();        # This should be the last executable line in the problem.
   44