hw_3_17_09

hw_3_17_09 - MA 221 Homework Solutions Due date: March 17,...

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MA 221 Homework Solutions Due date : March 17 , 2009 Section 8 . 2pg . 438 # 1 ̄ , 2 ̄ , 5 ̄ , 6 ̄ (Underlined problems are to be handed in) 1 ̄ .) n 0 2 n n 1 x 1 n lim n a n 1 a n lim n 2 n 1 / n 2 2 n / n 1 1 2 L p 1 L 2 The endpoints of the interval of convergence are x 1 x 0 p 1 2 3 x 2 x 0 p 1 2 1 At x 1 n 0 2 n n 1 3 1 n n 0 1 n 1 At x 2 n 0 2 n n 1 1 1 n n 0 1 n n 1 Therefore, the set of convergence is 1,3 2 ̄ .) n 0 3 n n ! x n lim n 3 n 1 x n 1 n 1 ! n ! 3 n x n lim n 3 x n 1 1 The set of convergence is − , 5 ̄ .) n 1 3 n 3 x 2 n lim n 3/ n 1 3 3/ n 3 lim n n n 1 3 1 p 1 L 1 At x 3 and x
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hw_3_17_09 - MA 221 Homework Solutions Due date: March 17,...

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