Assignment_10.pdf - Irene Wan Assignment Assignment 10 due...

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8.(1 point)Match the formulas with the descriptions of the behavior ofthe sequence asn.1.sn=3+(-1)n/(n)2.sn=1/(n+1)3.sn=cos(1/n)4.sn=1+cos(n)/n5.sn= (sin(n)/n)A. converges to zero through positive numbersB. converges to one from above and belowC. converges to zero through positive and negative num-bersD. converges to one from belowE. converges to three from above and belowAnswer(s) submitted:eadbc(correct)9.(1 point)Determine the limit of the sequence or show that the se-quence diverges by using the appropriate Limit Laws or theo-rems. If the sequence diverges, enter DIV as your answer.an=7n2+n+28n2-3limnan=Answer(s) submitted:7/8(correct)10.(1 point) For each sequence, find a formula for the gen-eral term,an. For example, answern2if given the sequence:{1,4,9,16,25,36,...}
(n+2)/(n+3)ˆ2(correct)11.(1 point) Determine whether each sequence is geometricor not. If it is geometric, enter the common ratio in the blankprovided. If it is not geometric, enterNonein the answer blank.

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Term
Fall
Professor
ISRAEL
Tags
Continuous function, Limit of a function, Geometric progression, Fibonacci number