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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('35') 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 If \(1 \leq f(x) \leq x^2+2x+2\) for all \(x\), find \(\displaystyle \lim_{x \to -1} f(x)\). 34 35 $PAR 36 37 \{ans_rule(10)\} 38 39 END_TEXT 40 41 ANS(fun_cmp("1", var=>"n")); 42 43 ENDDOCUMENT();
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