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Math 106 BC Quiz 08 page 1 12/3/2010 Name. Seige solutions Circle your Section: B(llam) —_C (noon) oo fe 9/5: 1. Use the ratio test to decide whether > OF) converges. Show all your work. kal Kel “4 KA Lat L = lin Aor = lia DF ee = lin (‘B" S - Kae aq K-700 eae ~ K-00 (A* eet e a a 4s) ; Ws lm = (.092.. = OFZ... 7 p, A = pie Ve “(207 ( Since L> ly fre Sets DUERGES . © (_1)k 2. Does » 2m converge absolutely? You will find the integral test useful; it’s a fact that { 1/(elnz) dz is In(In(x))+C. k=2 Show all your work and use correct notation in any evaluations of i eee integrals. a _ Fo cae anvege, az \KhK Ker Bat by te intyal Ey Fe ik fmt & [iy loge tae as =e [nt = Ew lhl fet) 80 gin wwe, 0 Frag My a ys «jt dali Se Mw, 2 x anvegant, ae ae a abtrahing LE Wve me Ho se tz God re + © Amd Since at) (kei) > khk, He terms 4 7 ree nok sabihy ke a oO 74)\k 3. Does & — ey bes be Pp = by fe ee a Re a am = pawet Mea “CWO f don y shee i Mr absditely coneeguct (ly part. 2) wk Dry ts a ‘ Ne 4, If the series in (3) does converge to some number S, find the partial sum y Kink’ and an upper bound on how far away this partial sum is from S. If the series in (3) a find how many (ene you need to add to obtain a partial sum which is bigger than 50. dh a & LHE pram wi b Sop = 95% $43C... Pg We a” o eu as Sane its ha achtjnahrs Semnes a Iawe- = — = 0,005 | 37 | = Ss &] hSi (<0 £ F Spo dled mat by 0.005 ) 
