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Moving UMN contributions to NPL

    1 #DESCRIPTION
2 ##  Calculus: Absolute convergence and the ratio and root tests
3 ##ENDDESCRIPTION
4
5 ##KEYWORDS('calculus', 'series', 'ratio test')
6
7 ## DBsubject('Calculus')
8 ## DBchapter('Infinite Sequences and Series')
9 ## DBsection('Absolute Convergence and the Ratio and Root Tests')
10 ## Date('04/07/2010')
11 ## Author('Justin Sukiennik')
12 ## Institution('University of Minnesota')
13 ## TitleText1('Calculus: Concepts and Contexts')
14 ## EditionText1('4 Custom UMTYMP Ed.')
15 ## AuthorText1('Stewart')
16 ## Section1('11.6')
17 ## Problem1('1')
18
19 #####################################################################
20 DOCUMENT();        # This should be the first executable line in the problem.
21
23   "PGstandard.pl",
24   "MathObjects.pl",
25   "PGunion.pl",
26   "parserPopUp.pl",
27   "PGchoicemacros.pl",
28   "PGcourse.pl",
29 );
30
31 #####################################################################
33
34 TEXT(beginproblem());
35
36 $showPartialCorrectAnswers = 0; 37 38 ##################################################################### 39 40 41 Context("Numeric"); 42 43$a = list_random(2,4,5,10,20);
44
45 $b = Compute("1/$a");
46
47 $popup1 = PopUp(['?','Convergent', 'Divergent','Inconclusive'],'Convergent'); 48$popup2 = PopUp(['?','Convergent', 'Divergent','Inconclusive'],'Inconclusive');
49 $popup3 = PopUp(['?','Convergent', 'Divergent','Inconclusive'],'Divergent'); 50 51 ##################################################################### 52 53 #Title("$BITALIC Look Ahead: $EITALIC 11.6 Absolute Convergence and the Ratio and Root Tests"); 54 55 Context()->texStrings; 56 BEGIN_TEXT 57 What can you say about the series $$\sum a_n$$ in each of the following cases using the Ratio Test? Answer "Convergent," "Divergent," or "Inconclusive."$BR
58 $HR 59 \{$popup1->menu\} $BBOLD 1.$EBOLD  $$\displaystyle \lim_{n \to \infty} \left|\frac{a_{n+1}}{a_n} \right| = b$$
60 $PAR 61 \{$popup2->menu\} $BBOLD 2.$EBOLD  $$\displaystyle \lim_{n \to \infty} \left|\frac{a_{n+1}}{a_n} \right| = 1$$
62 $PAR 63 \{$popup3->menu\} $BBOLD 3.$EBOLD   $$\displaystyle \lim_{n \to \infty} \left|\frac{a_{n+1}}{a_n} \right| = a$$
64 $HR 65$BBOLD Note:$EBOLD$BITALIC You only have two attempts at this problem.$EITALIC 66$HR
67 END_TEXT
68
69 #####################################################################
70
71 ANS($popup1->cmp); 72 ANS($popup2->cmp);
73 ANS(\$popup3->cmp);
74
75 ENDDOCUMENT();        # This should be the last executable line in the problem.