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# View of /trunk/NationalProblemLibrary/Dartmouth/setStewartCh15S2/problem_3.pg

Tue Apr 11 16:55:13 2006 UTC (7 years, 1 month ago) by jjholt
File size: 1049 byte(s)
Added tags.  --JH


    1 ## DESCRIPTION
2 ## Calculus
3 ## ENDDESCRIPTION
4
5 ## KEYWORDS('limit')
6 ## Tagged by tda2d
7
8 ## DBsubject('Calculus')
9 ## DBchapter('Partial Derivatives')
10 ## DBsection('Limits and Continuity')
11 ## Date('')
12 ## Author('')
13 ## Institution('Dartmouth')
14 ## TitleText1('Calculus')
15 ## EditionText1('5')
16 ## AuthorText1('Stewart')
17 ## Section1('15.2')
18 ## Problem1('')
19
20 DOCUMENT();
22            "PGbasicmacros.pl",
23            "PGchoicemacros.pl",
25            "PGauxiliaryFunctions.pl",
26            "PGgraphmacros.pl",
27            "Dartmouthmacros.pl");
28
29
30 ## Do NOT show partial correct answers
31 $showPartialCorrectAnswers = 0; 32 33$a = random(2,9)*non_zero_random(-1,1);
34 $b = random(2,9)*non_zero_random(-1,1); 35 36 37 ## Ok, we are ready to begin the problem... 38 ## 39 TEXT(beginproblem()); 40 41 42 BEGIN_TEXT 43$BR
44
45 Find the limit
46 $47 \lim_{(x,y) \to (0, 0)} 48 \frac{(a x^2 + b y^2)}{\sqrt{(a x^2 + b y^2 +1)} -1} 49$
50     \{ans_rule()\}  (Enter dne if the limit does not exist)
51 \$PAR
52 END_TEXT
53
54     ANS(num_cmp("2"));
55
56 ENDDOCUMENT();
57
58
59
60