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Unformatted text preview: M408D APHonors Max score = 100 Circle discussion group: 8:30 1:00 Test 1 2:00 ESP 9/30/09 Keg Name  Printed Show your work in the space provided except for problem 7. Circle your answers. No cell phones, calculators, etc. are permitted. 1. Find the limit, if it exists. Your answer should be numeric. 71—?OO (6)  “Ob
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3 Ono—3 4. Classify as AC / CC / DIV. Remember to show your work / give your reasoning.
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X I 47; : jhlu Lccﬂﬁu 23 L} (.V\ .. C') n 7. True or False (circle T or (14)
a) Every monotone bounded sequence converges. b) If E an and 2 bn both converge then Z(anbn) converges. c) If f(:r) : Z bn(ac + 3)” has radius of convergence 2, 71.20
and if lim [bnll/n : B, then B = 2.
“HOG
d) Let an > 0, bn > 0 for all n and assume that lim a—n : 0. n—>oo bn If 2 an diverges, then 2 bn diverges. 00
e) Let Z an(m — 2)” have radius of convergence 7" = 3.
n=0 Then 2 Ian I converges. f) If Zan and 2 bn both converge7 then lim (anbn) exists. ’I’L—’OO g) Iff(a:) 2 :71! :c” then f<">(o) : (my) 4?“ all n. ...
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 Fall '09
 odell

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