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1 ## DBsubject('Calculus') 2 ## DBchapter('Limits and Derivatives') 3 ## DBsection('Calculating Limits Using the Limit Laws') 4 ## KEYWORDS('Product','Quotient','Differentiation') 5 ## TitleText1('Calculus: Early Transcendentals') 6 ## EditionText1('5') 7 ## AuthorText1('Stewart') 8 ## Section1('2.3') 9 ## Problem1('18') 10 ## Author('') 11 ## Institution('UCSB') 12 13 DOCUMENT(); 14 15 loadMacros( 16 "PG.pl", 17 "PGbasicmacros.pl", 18 "PGchoicemacros.pl", 19 "PGanswermacros.pl", 20 "PGauxiliaryFunctions.pl" 21 ); 22 23 TEXT(&beginproblem); 24 $showPartialCorrectAnswers = 1; 25 $a=random(1,10,1)*random(-1,1,2); 26 $b=random(1,10,1)*random(-1,1,2); 27 $c=random(1,10,1)*random(-1,1,2); 28 29 BEGIN_TEXT 30 31 $PAR 32 33 Evaluate the limit, if it exists. If not, enter "n" below. $PAR 34 \(\displaystyle \lim_{x \to 1} \frac{x^3-1}{x^2-1}\) 35 36 $PAR 37 38 \{ans_rule(10)\} 39 40 END_TEXT 41 42 ANS(fun_cmp("3/2", var=>"n")); 43 44 ENDDOCUMENT();
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