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Unformatted text preview: x : 1 : (c) (10 pts) Find the Taylor series for f: 4 5. (10 pts) True or False. Each correct answer is worth 2 points, each incorrect answer is worth negative 2 points. Each unanswered question is worth 0 points. Your total for this problem will be rounded up to zero if it is negative. Assume below that a n and b n are all positive. (a) If 1 P n =1 a n and 1 P n =1 b n converge, then 1 P n =1 a n b n must also converge. (b) If lim n !1 a n +1 =a n ! L < 1 , then lim n !1 a n = 0 : (c) If 1 P n =1 a n and 1 P n =1 b n both diverge, then so must 1 P n =1 a n b n : (d) If 1 P n =1 ( & 1) n a n is conditionally covergent, then a n +1 =a n ! 1 as n ! 1 : (e) If lim n !1 a n b n = 0 and 1 P n =1 b n diverges, then 1 P n =1 a n must also diverge. 5...
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 Spring '09
 CHEUNG
 Math, Calculus

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