Final_Fall-2005-2006_Nahlus_Yamani

Final_Fall-2005-2006_Nahlus_Yamani - Math 201 Final...

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Math 201 Math 201 Final Examination (Time: 2.5 hours) Feb 1, 2006 N. Nahlus & H. Yamani Name I.D Section Number Part 1 : (60/100 points:) 15 problems with 4 points each Be Careful : Many problems have 2 parts (with 2 points each) Circle your multiple choice answers & fill in the blanks (as in problem 1) Penalty : 2 / 1 - 1) Let = + + 1 0 sin cos 2 n n n nx b nx a a be the Fourier series of p p < < - = x on x x f ) ( . (i) Fill in the blank: = ... .... 3 ..... .......... ..... dx b . (ii) A) = 3 b 0 B) = 3 b 5 / 2 C) = 3 b 5 / 2 - D) = 3 b 5 / 1 E) = 3 b 5 / 1 - (F) None of the above 2) The series = + - 1 5 ln 1 ) 1 ( n n n n is (i) X) Convergent Y) Divergent (ii) A) Absolutely convergent B) Conditionally convergent C) Divergent Reminder : Answer both parts 3) The series = + - 1 ) 2 ( ) 1 ( n n n n n is A) Absolutely convergent B) Conditionally convergent C) Divergent
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4) The series = - 1 2 ) ! ( ) ! 2 ( ) 1 ( n n n n is A) Absolutely convergent B) Conditionally convergent C) Divergent 5) Consider the power series = - - 1
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This note was uploaded on 03/01/2010 for the course MATH 201 taught by Professor Variousteachers during the Spring '10 term at American University of Beirut.

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Final_Fall-2005-2006_Nahlus_Yamani - Math 201 Final...

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