plugin-e2_prac_S2010.pdf3

plugin-e2_prac_S2010.pdf3 - M408D Practice problems for...

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Unformatted text preview: M408D Practice problems for Exam #2 Directions . Indicate the correct answer for each problem by filling in the appropriate space, as in (A) ( • ) (C) (D) (E). 1) The series ∞ summationdisplay k =2 √ k k- 1 is: (A) convergent. (B) divergent. 2) If the alternating series test is used to analyze ∞ summationdisplay k =2 (- 1) k +1 ln( k + 4) 3 ln(2 k ) , then we find that lim k →∞ b k = (A) 0. (B) 4 3 . (C)- 1 12 . (D) 1 3 . (E) 1 2 . 3) If a k = f ( k ), where 1 ≤ f ( x ) ≤ 5 for all real x ≥ 1, then we can conclude that: (A) The sequence a k k is convergent. (B) The series ∞ summationdisplay k =1 a k k is convergent. (C) Both A and B. (D) Neither A nor B. 4) What are all values of p for which the series ∞ summationdisplay n =1 e pn n 2 is convergent? (A) p < 0. (B) 0 ≤ p < 1. (C)- 1 < p < 0. (D)- 1 < p ≤ 0. (E) p ≤ 0. 5) The series ∞ summationdisplay k =1 k 3 5 k is: (A) absolutely convergent. (B) conditionally convergent. (C) divergent....
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This note was uploaded on 01/27/2011 for the course M 408d taught by Professor Sadler during the Spring '07 term at University of Texas.

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plugin-e2_prac_S2010.pdf3 - M408D Practice problems for...

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