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Fri Jun 9 20:01:08 2006 UTC (6 years, 11 months ago) by jjholt
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    1 ## DESCRIPTION
2 ##  Calculus: Indeterminant Forms and L'Hopital's Rule
3 ## ENDDESCRIPTION
4
5 ## KEYWORDS('Indeterminant Forms', 'LHopitals rule')
6 ## Tagged by YL
7
8 ## DBsubject('Calculus')
9 ## DBchapter('Applications of Differentiation')
10 ## DBsection('Indeterminate Forms and L'Hospital's Rule')
11 ## Date('5/29/2005')
12 ## Author('Jeff Holt')
13 ## Institution('UVA')
14 ## TitleText1('Calculus')
15 ## EditionText1('5e')
16 ## AuthorText1('Stewart')
17 ## Section1('4.4')
18 ## Problem1('57')
19
20
21 DOCUMENT();
22 # This should be the first executable line in the problem.
23
24 loadMacros(
25 "PG.pl",
26 "PGbasicmacros.pl",
27 "PGchoicemacros.pl",
28 "PGanswermacros.pl",
29 "PGauxiliaryFunctions.pl"
30 );
31
32 TEXT(beginproblem());
33 $showPartialCorrectAnswers = 1; 34 35$a = random(2,7,1);
36 $b = random(2,7,1); 37$c = exp(-$a*$b);
38
39 TEXT(EV2(<<EOT));
40 $BR 41 Evaluate the following limit: 42 $\lim_{ x \rightarrow 0 } (1 - a x)^{\frac{b}{x}}$ 43 Enter$BBOLD -I $EBOLD if your answer is $$-\infty$$, enter$BBOLD I $EBOLD if your answer is 44 $$\infty$$, and enter$BBOLD DNE $EBOLD if the limit does not exist. 45$PAR
46 $BR 47 Limit = \{ans_rule(25) \} 48$BR
49 EOT
50
51 $ans =$c;
52 ANS(num_cmp(\$ans, strings=>["-I","I","DNE"]));
53
54 ENDDOCUMENT();
55 # This should be the last executable line in the problem.


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