HW2-02-S18-Casteels.liang_li.pdf - Liang Li Assignment...

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Liang LiMATH6B-02-S18-CasteelsAssignment Homework2 due 04/17/2018 at 11:59pm PDT1.(1 pt) Determine whether the series is convergent or diver-gent. If convergent, find the sum; if divergent, enterdiv.n=11n(n+2)Answer:Answer(s) submitted:3/4(correct)2.(1 pt)How large mustNbe in order forSN=Nk=11kto exceed 4?Note: Computer calculations show that forSNto exceed 20,N=272,400,600 and forSNto exceed 100,N1.5×1043.Answer:N=.Answer(s) submitted:31(correct)3.(1 pt) Consider the series:k=73(k-1)2-3k2a) Determine whether the series is convergent or divergent:.(Enter ”convergent” or ”divergent” as appropriate.)b) If it converges, find its sum:.If the series diverges, enter here ”divergent” again.Answer(s) submitted:convergent1/12(correct)4.(1 pt) Letanbe the n th digit after the decimal point in9π+9e. Evaluaten=1an(.1)n.Answer(s) submitted:9pi+9e-52(correct)5.(1 pt)Suppose that the nth partial sum of the seriesn=1anissn=-2n+11-1n+3.Find a (not very pretty) expression foran:What is the value ofn=1an:Answer(s) submitted:5/((-n+3)*(-n+4))2(correct)6.(1 pt) Determine whether the series is convergent or diver-gent. If convergent, find the sum; if divergent, enterdiv.n=1nn+1Answer:Answer(s) submitted:div(correct)7.(1 pt)Consider the seriesn=1n7n+7Determine whether the series converges, and if it converges,determine its value.

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