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# Assign8 - Math 128 ASSIGNMENT 8 Winter 2010 Submit all...

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Unformatted text preview: Math 128 ASSIGNMENT 8 Winter 2010 Submit all problems by 8:20 am on Wednesday, March 24 th in the drop boxes across from MC4066, or in class depending on your instructor’s preference. All solutions must be clearly stated and fully justified . Comment: This assignment is longer than usual. It is strongly recommended that you start working on it early. 1. Find the sum of the given geometric series. a) ∞ X n =0 3 (- 1 4 ) n b) ∞ X n =0 π n 2 3 n- 1 c) ∞ X n =0 3 + 2 n 3 n +2 2. Apply the n th Term Test (i.e. Divergence Test) or the Comparison Test to decide whether each series converges, converges absolutely, or diverges. a) ∞ X n =2 n + 1 n- 1 b) ∞ X n =1 sin nx 2 n , x ∈ R c) ∞ X n =1 2 n n 3 n d) ∞ X n =0 1 1 + 3 n e) ∞ X n =1 1 2- 1 n 2 f) ∞ X n =0 cos( n 2 ) π n + 3 3. Determine whether each of the following series converges absolutely or diverges by comparison to an appropriate p-series. (You may use the result of example 2 on page 699 of your text.) (i) ∞ X...
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## This note was uploaded on 05/04/2010 for the course MATH 128 taught by Professor Zuberman during the Winter '10 term at Waterloo.

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Assign8 - Math 128 ASSIGNMENT 8 Winter 2010 Submit all...

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