View of /trunk/NationalProblemLibrary/Dartmouth/setStewartCh15S2/problem_2.pg

    1 ## -*- perl -*- ##
    2 ## Line above puts emacs in perl mode
    3 ##
    4 ## Description
    5 ##   This is a generic problem template
    6 ## EndDescription
    7 
    8 DOCUMENT();
    9 loadMacros("PG.pl",
   10            "PGbasicmacros.pl",
   11            "PGchoicemacros.pl",
   12            "PGanswermacros.pl",
   13            "PGauxiliaryFunctions.pl",
   14            "PGgraphmacros.pl",
   15            "Dartmouthmacros.pl");
   16 
   17 
   18 ## Do NOT show partial correct answers
   19 $showPartialCorrectAnswers = 0;
   20 
   21 $k = random(2,9)*non_zero_random(-1,1);
   22 
   23 
   24 
   25 ## Ok, we are ready to begin the problem...
   26 ##
   27 TEXT(beginproblem());
   28 
   29 
   30 BEGIN_TEXT
   31 $BR
   32 
   33 Find the limit
   34 \[
   35     \lim_{(x,y) \to (0, 0)}\frac{($k x + y)^2}{\{$k*$k\}x^2 + y^2}
   36 \]
   37     \{ans_rule()\}  (Enter dne if the limit does not exist)
   38 $PAR
   39 END_TEXT
   40 
   41     ANS(str_cmp("dne"));
   42 
   43 ENDDOCUMENT();
   44 
   45 
   46 
   47