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Math151OldQuiz3

# Math151OldQuiz3 - Math 151 Name QUIZ ON SECTIONS 11.1-5...

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Math 151 Name: ________________________ QUIZ ON SECTIONS 11.1-5 MATH 151 – SPRING 2003 – KUNIYUKI 102 POINTS TOTAL, BUT 100 POINTS = 100% Show all work, simplify as appropriate, and use “good form and procedure” (as in class). Box in your final answers! No notes, books, or calculators allowed. 1) Find the limits. Write or -• when appropriate. If a limit does not exist, and and are inappropriate, write “DNE” (Does Not Exist). You do not have to show work. (9 points total; 3 points each) a) lim n n a Æ• , where a n n n n = + Ê Ë Á ˆ ¯ ˜ 1 b) lim n n a , where a n n =- Ê Ë Á ˆ ¯ ˜ 6 2 5 c) lim n n a , where a n n n = sin 2 2) Find the sum of the series 3 4 1 1 n n n + = Â . (8 points)

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3) The series - () - = Â 1 1 1 3 1 n n n is approximated by S 3 . According to our discussion in class, what is an upper bound on error for this approximation? (4 points) 4) For each of the following series, box in “Absolutely Convergent,” “Conditionally Convergent,” or “Divergent,” as appropriate. You do not have to show work. (12 points total; 4 points each) a) - - = Â 1 1 1 13 1 n n n / Absolutely Convergent Conditionally Convergent Divergent b) - Ê Ë Á ˆ ¯

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Math151OldQuiz3 - Math 151 Name QUIZ ON SECTIONS 11.1-5...

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