Review3 - MAC 3473 FALL 2007 REVIEW PROBLEMS FOR TEST 3 1 For each of the following series determine whether it is convergent or divergent State

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Unformatted text preview: MAC 3473 - FALL 2007 REVIEW PROBLEMS FOR TEST 3 1 . For each of the following series, determine whether it is convergent or divergent. State your reasons clearly, naming any test that you use. a) ∞ X n =1 7 + 14 √ n n 2 b) ∞ X n =1 7 + 4 n n 5 / 2 c) ∞ X n =1 9 + 11 n ( n 2 + 1) 3 d) ∞ X n =1 3 + 2 n 5 + 5 n e) ∞ X n =1 7 + 4 n n 5 / 2 2 . Determine whether each of the following series converge absolutely, conditionally or diverge. a) ∞ X n =1 (- 1) n n 3 + 1 b) ∞ X n =1 (- 1) n √ n 1 + 2 √ n c) ∞ X n =2 (- 1) n ln n d) ∞ X n =1 (- 2) n n ! n n e) ∞ X n =1 n n 3 n n ! 3 . Find the radius of convergence and interval of convergence of the following power series a) ∞ X n =1 x n 2 n + 1 b) ∞ X n =1 ( x- 4) n n 3 5 n c) ∞ X n =1 (- 1) n (2 x- 1) n √ n 4 . Find a power series representation for the function f ( x ) = x 3 32 + x 5 and determine the interval of convergence....
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This note was uploaded on 12/27/2011 for the course MAC 3473 taught by Professor Block during the Fall '08 term at University of Florida.

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Review3 - MAC 3473 FALL 2007 REVIEW PROBLEMS FOR TEST 3 1 For each of the following series determine whether it is convergent or divergent State

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