A8 - Math 128 ASSIGNMENT 8: In nite Series Winter 2011 Due...

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Unformatted text preview: Math 128 ASSIGNMENT 8: In nite Series Winter 2011 Due at 8:25 am on Wednesday, March 23 rd in the correct drop slot across from MC4066 or in class depending on your instructor's preference. Assignments put into the wrong drop slot will not be marked. Warm up: Find the sum of the geometric series ∞ ∑ n =0 3 (- 1 4 ) n . Answer: 12 / 5 . Part A (answer only): Submit your answers using the template provided on the last page of this assignment, which you can print or hand-copy. 1. Find the sum of ∞ ∑ n =0 π n 2 3 n- 1 . 2. Apply the n th Term Test (Divergence Test) or the Comparison Test to decide whether each series converges, converges absolutely, or diverges. a) ∞ X n =2 n √ n- 1 b) ∞ X n =1 2 n n !5 n 3. Apply the Ratio Test to determine whether the following series converge absolutely or diverge. a) ∞ X n =0 1 1 + e n b) ∞ X n =1 (- 2) n n 5 n +1 Part B (full solution): All solutions must be clearly stated and fully justi ed....
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This note was uploaded on 04/18/2011 for the course MATH 128 taught by Professor Pavlicek during the Spring '11 term at Bridgewater State University.

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A8 - Math 128 ASSIGNMENT 8: In nite Series Winter 2011 Due...

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