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| 1 : | jj | 134 | ## -*- 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 : |
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