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    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


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