MA104 week 11 report solutions - MA 104 Week 11 Report...

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MA 104 Week 11 Report ° Comparison Tests; Alternating Series Test; Ratioand Root TestsName:Lab:Winter 20061.[4marks]Recall from Week 10, Question #2, that the seriesan=n3+ 3n2+ 2nwas shown to be aconvergent telescoping series.Using this, along with the Limit Comparison Test, show that the series1Pn=1bn=1Pn=1np2n8+ 2n+ 1converges.Test may be applied sincebn>0andan>0for alln >0anbn= limn!111Pn=11Pn=11
2.[7marks]Consider the seriesan=n1=3°1±1n±andbn=8n.(a) Determine if1Pn=1bnconverges or diverges, justifying your answer.
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