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# View of /trunk/NationalProblemLibrary/UCSB/Stewart5_2_4/Stewart5_2_4_3/Stewart5_2_4_3.pg

Revision 1952 - (download) (annotate)
Tue Jul 12 17:30:35 2011 UTC (22 months, 1 week ago) by jj
File size: 965 byte(s)
Fixed bug 2006 -- latex problems.


    1 ## DBsubject('Calculus')
2 ## DBchapter('Limits and Derivatives')
3 ## DBsection('The Limit of a Function')
4 ## KEYWORDS('Product','Quotient','Differentiation')
5 ## TitleText1('Calculus: Early Transcendentals')
6 ## EditionText1('5')
7 ## AuthorText1('Stewart')
8 ## Section1('2.4')
9 ## Problem1('3')
10 ## Author('')
11 ## Institution('UCSB')
12
13 DOCUMENT();
14
15 loadMacros(
16 "PG.pl",
17 "PGbasicmacros.pl",
18 "PGchoicemacros.pl",
19 "PGanswermacros.pl",
20 "PGauxiliaryFunctions.pl"
21 );
22
23 TEXT(&beginproblem);
24 $showPartialCorrectAnswers = 1; 25$a=random(1,10,1)*random(-1,1,2);
26 $b=random(1,10,1)*random(-1,1,2); 27$c=random(1,10,1)*random(-1,1,2);
28
29 BEGIN_TEXT
30  Use the given graph of $$f(x)=1/x$$ to find the largest number $$\delta$$
31 such that
32
33 $\left| \dfrac{1}{x}-0.5\right| <0.2\qquad \text{whenever} \qquad\left| 34 x-2\right| <\delta$
35 $BR$BR
36 \{ image( "3.gif", height => 250, width => 420, tex_size=>300 )  \}
37
38 $BR$BR
39
40 $$\delta =$$ \{ans_rule(50)\}
41
42 END_TEXT
43
44 ANS(num_cmp(4/7));
45
46 ENDDOCUMENT();


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