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

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Irene Wan2018W2MATH103ALLAssignment Assignment10 due 03/24/2019 at 11:00pm PDT1.(1 point) Find the limit of the sequencean=(5n+1)!(5n-1)!.Ifthe limit does not exist, type ”Diverges” or ”D”.Limit:Answer(s) submitted:D(correct)2.(1 point)Determine whether the sequence is divergent or convergent.If it is convergent, evaluate its limit. If it diverges to infinity,state your answer as INF. If it diverges to negative infinity, stateyour answer as MINF. If it diverges without being infinity ornegative infinity, state your answer as DIV.limn-10(n!)(8)nAnswer(s) submitted:MINF(correct)3.(1 point) If a sequencec1,c2,c3,...has limit K then thesequenceec1,ec2,ec3,...has limiteK.Use this fact together withl’Hopital’s rule to compute the limit of the sequence given bybn= (n)5.9n.Answer(s) submitted:1(correct)4.(1 point)Supposea1=12-12,a2=23-13,a3=34-14,a4=45-15,a5=56-16.a) Find an explicit formula foran:.b) Determine whether the sequence is convergent or diver-gent:.(Enter ”convergent” or ”divergent” as appropriate.)c) If it converges, find limnan=.Answer(s) submitted:n/((n+1)-(1/(n+1)))convergent1(correct)The sequencesngraphed is increasing andlimnsn=1Find the smallest positive integerNso that|sn-1|<0.25, fornN.N=Answer(s) submitted:5(correct)6.(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.cn=ln9n-77n+4limncn=Answer(s) submitted:ln(9/7)(correct)7.(1 point)For each of the sequences below, enter eitherdivergesif thesequence diverges, or the limit of the sequence if the sequenceconverges asn.(Note that to avoid this becoming a ”mul-tiple guess” problem you will not see partial correct answers.)A.3n+n3:B.sinn3n:C.3n+5n:D.cos(n)+3n+sin(n):Answer(s) submitted:diverges030(correct)5.(1 point)1
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

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