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Tue Nov 8 15:17:41 2011 UTC (18 months, 2 weeks ago) by aubreyja
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Rogawski problems contributed by publisher WHFreeman. These are a subset of the problems available to instructors who use the Rogawski textbook. The remainder can be obtained from the publisher.

    1 #Problem 2.3.27 ET2e
2
3 DOCUMENT();
4
5 # Load whatever macros you need for the problem
7            "PGbasicmacros.pl",
8            "PGchoicemacros.pl",
10            "PGauxiliaryFunctions.pl",
11            "PGgraphmacros.pl",
12           );
15
16 ## DBsubject('Calculus')
17 ## DBchapter('Limits and Derivatives')
18 ## DBsection('Calculating Limits Using the Limit Laws')
19 ## KEYWORDS('calculus', 'limits', 'basic limit laws')
20 ## TitleText1('Calculus: Early Transcendentals')
21 ## EditionText1('2')
22 ## AuthorText1('Rogawski')
23 ## Section1('2.3')
24 ## Problem1('27')
25 ## Institution('W.H.Freeman')
26
27 $showPartialCorrectAnswers = 0; 28$solutionexits=1;
29 TEXT(beginproblem());
30 $a=random(-5,5,2); 31$b=random(1,8,1);
32 $c=random(-4,4,1); 33 BEGIN_TEXT 34 \{ textbook_ref_exact("Rogawski ET 2e", "2.3","27") \}$BR
35 Evaluate the limit assuming that $$\lim\limits_{x \to c} f(x) = a$$ and $$\lim\limits_{x \to c} g(x) = b$$: $BR 36 $$\lim\limits_{x \to c} f(x) g(x) =$$ \{ ans_rule(4) \} 37$PAR
38 END_TEXT
39
40 $answ=$a*$b; 41 42 SOLUTION(EV3(<<'END_SOLUTION')); 43$BR$BBOLD Solution:$EBOLD
44 $BR 45 $$\lim\limits_{x \to c} f(x) g(x) = \lim\limits_{x \to c} f(x) \cdot \lim\limits_{x \to c} g(x) = a \cdot b =answ$$. 46 47 48 END_SOLUTION 49 50 ANS( num_cmp($answ ) );
51
52 ENDDOCUMENT();
53