View of /trunk/NationalProblemLibrary/UCSB/Stewart5_2_3/Stewart5_2_3_31.pg

    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('31')
   10 ## Author('')
   11 ## Institution('UCSB')
   12 
   13 
   14 DOCUMENT();
   15 
   16 loadMacros(
   17 "PG.pl",
   18 "PGbasicmacros.pl",
   19 "PGchoicemacros.pl",
   20 "PGanswermacros.pl",
   21 "PGauxiliaryFunctions.pl"
   22 );
   23 
   24 TEXT(&beginproblem);
   25 $showPartialCorrectAnswers = 1;
   26 $a=random(1,10,1)*random(-1,1,2);
   27 $b=random(1,10,1)*random(-1,1,2);
   28 $c=random(1,10,1)*random(-1,1,2);
   29 
   30 BEGIN_TEXT
   31 
   32 $PAR
   33 
   34 Evaluate the limit. Verify your answer by using a table of values or a graph. $PAR
   35 \(\displaystyle \lim_{x \to 0} \frac{x}{\sqrt{1+3x}-1}\)
   36 
   37 $PAR
   38 
   39 \{ans_rule(10)\}
   40 
   41 END_TEXT
   42 
   43 ANS(fun_cmp("2/3", var=>"n"));
   44 
   45 ENDDOCUMENT();