Evaluate yourself _1_-1-1-1-1 - Math 141 Section 04 05...

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Math 141, Section 04 & 05, Integral CalculusExam 3(Self Evaluation Test 1): March 27, 2010(100 points)Last name:First name:Student No.:Instructions:There are 8 questions on a total of 7 pages, including this cover page.Write yoursolutions in the space provided.Read each question carefully andshow all your work. Provideexactanswers (insteadof decimal approximations) unless indicated otherwise.Only Sharp EL531M, EL531Q, EL509VHB, EL531VB, and Texas Instruments TI-32, TI-32-solar, TI-30X, TI-30XA (solar or battery), TI30X-IIS, and TI30X-IIB arepermitted.QuestionPointsScore1626348475766Total:80
1.(6)Determine whether the sequence{(1 +2n}is convergent or divergent. If it converges,find the limit.2.(6)(i) Prove that “if a seriesXn=1anis absolutely convergent, then it is convergent”(ii) Determine whether the sequence{ne-n}is increasing, decreasing or not monotonic.Is the sequence bounded?3.(48)Determine whether the series is convergent, absolutely convergent, conditionally conver-)n

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