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Unformatted text preview: Math 128 ASSIGNMENT 8: Infinite Series Winter 2012 Due at 8:25 am on Wednesday, March 21 st in the correct drop slot across from MC4066 or in class depending on your instructors 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 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 justified....
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