View of /trunk/NationalProblemLibrary/Rochester/setLimitsRates2Limits/s1_3_6.pg

    1 ##DESCRIPTION
    2 ##  Evalute a limit of a fraction of two polynomials
    3 ##ENDDESCRIPTION
    4 
    5 ##KEYWORDS('limits')
    6 
    7 DOCUMENT();        # This should be the first executable line in the problem.
    8 
    9 loadMacros(
   10 "PG.pl",
   11 "PGbasicmacros.pl",
   12 "PGchoicemacros.pl",
   13 "PGanswermacros.pl",
   14 "PGauxiliaryFunctions.pl"
   15 );
   16 
   17 TEXT(beginproblem());
   18 $showPartialCorrectAnswers = 1;
   19 
   20 $a1 = random(3,8,1);
   21 $b1 = random(3,8,1);
   22 $c1 = random(3,8,1);
   23 $d1 = random(3,8,1);
   24 $e1 = random(-3,-1,1);
   25 
   26 TEXT(EV2(<<EOT));
   27 Evaluate the limit
   28 \[ \lim_{ x \rightarrow $e1 } \frac { $b1 x^2 -$c1 x +$d1 } {x - $a1 } \]
   29 $BR \{ans_rule(25) \}
   30 $BR
   31 EOT
   32 
   33 $ans = ( $b1*$e1*$e1 -$c1*$e1 +$d1 )/($e1 - $a1 );
   34 ANS(num_cmp($ans));
   35 
   36 ENDDOCUMENT();        # This should be the last executable line in the problem.
   37