This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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...
View
Full Document
 Spring '09
 CHEUNG
 Math, Calculus, Taylor Series, Mathematical Series, pts, n=1

Click to edit the document details