HW3 - steele(pss669 HW 3 cepparo(55660 This print-out...

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steele (pss669) – HW 3 – cepparo – (55660)1Thisprint-outshouldhave19questions.Multiple-choice questions may continue onthe next column or page – find all choicesbefore answering.00110.0 pointsDetermine the convergence or divergence ofthe series
k= 2k2(lnk)2,and
By the Divergence Test, therefore, series (A)diverges.(B) We apply the Limit Comparison Testwithak=tan-1k1 +k4,bk=1k4.Forlimk→ ∞k4tan
steele (pss669) – HW 3 – cepparo – (55660)23.both series diverge4.Aconverges,BdivergesIfan, bn,andcnsatisfy the inequalities0< ancnbn,for alln, what can we say about the series
00310.0 points
steele (pss669) – HW 3 – cepparo – (55660)3then the Comparison Test applies and saysthatbndiverges.Consequently, what we can say is(A) need not diverge,(B) diverges.

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