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1 : jjholt 184 ## DESCRIPTION
2 :     ## Calculus
3 :     ## ENDDESCRIPTION
4 : jj 143
5 : jjholt 184 ## KEYWORDS ('complex','imaginary','analytic')
6 :     ## Tagged by cmd6a 4/20/06
7 : jj 143
8 : jjholt 184 ## DBsubject('Calculus')
9 :     ## DBchapter('Appendixes')
10 :     ## DBsection('Complex Analytic Functions')
11 :     ## Date('')
12 :     ## Author('')
13 :     ## Institution('Rochester')
14 :     ## TitleText1('Fundamentals of Complex Analysis for Mathematics, Science, and Engineering')
15 :     ## EditionText1('')
16 :     ## AuthorText1('E.B. Saff and A.D. Snider')
17 :     ## Section1('2.3')
18 :     ## Problem1('15')
19 :    
20 : jj 143 DOCUMENT(); # This should be the first executable line in the problem.
21 :    
22 :     loadMacros(
23 :     "PG.pl",
24 :     "PGbasicmacros.pl",
25 :     "PGchoicemacros.pl",
26 :     "PGanswermacros.pl",
27 :     "PGauxiliaryFunctions.pl",
28 :     "PGcomplexmacros.pl"
29 :     );
30 :    
31 :     TEXT(beginproblem());
32 :    
33 :     $a = 4*random(0, 2, 1) + 2;
34 :     $b = 4*random(3, 4, 1) + 2;
35 :    
36 :     BEGIN_TEXT
37 :     $PAR
38 :     Use L'Hospital's rule to find \(\lim_{z\to i}{\frac{1\ +\ z^{$a}}{1\ +\ z^{$b}}}\):$PAR
39 :     \{ans_rule(20)\}
40 :     $PAR
41 :     END_TEXT
42 :    
43 :    
44 :     ANS(cplx_cmp( new Complex($a/$b, 0 ) ));
45 :    
46 :     ENDDOCUMENT(); # This should be the last executable line in the problem.
47 :    

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