[npl] / trunk / NationalProblemLibrary / ma123DB / set11 / s11_5_15.pg Repository: Repository Listing bbplugincoursesdistsnplrochestersystemwww

# Annotation of /trunk/NationalProblemLibrary/ma123DB/set11/s11_5_15.pg

 1 : gage 5 ##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 :