# Math 128 Winter 2016 Quiz 9 Solution - MATH 128 Winter 2016...

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MATH 128 Winter 2016Quiz 9Topics: Absolute Convergence, Ratio Test, Power SeriesMonday March 21Student Name(Print Legibly)(family name)(given name)SignatureStudent ID NumberPlease indicate your section001 Paul McGrath (12:30-1:20)004 Jen Nelson (11:30-12:20)002 Robert Jonsson (8:30-9:20)005 Giuseppe Sellaroli (9:30-10:20)003 Paula Smith (10:30-11:20)006 Paula Smith (1:30-2:20)007 Ali Mahdipour (1:30-2:20)Instructions:Print your name and I.D. number above and indicate which section of Math 128 youare in.Calculators are not allowed.Your solutions must have legible handwriting, and must be presented in clear, conciseand logical steps that fully reveal what you are doing.Total/251
1. Determine whether the following series converge absolutely, converge conditionally, ordiverge. Show your reasoning and name the test(s) you use. (In each case, 5 points: 2for correctly naming test(s) used, 2 for work, 1 for determining absolute or conditionalconvergence, or divergence.)[5](a)Xn=1(-1)n-1nn+ 1Xn=1nn+ 1converge? We comparenn+ 1with1n. By the Limit Comparison test,