Unformatted text preview: n ). Previous Exam Questions (for Practice) 2. ( 7 points ) Find all x for which the series below converges. Find all x for which the series diverges. When the series converges, determine whether the convergence is absolute or conditional. Show your results in a diagram. ∞ X n =1 (-1) n (3 x ) n √ n . 2. ( 40 points ) Determine whether the given series converges absolutely, converges conditionally, or diverges. Explain clearly any comparisons you make, and why any test you use can be applied. (a) ∞ X k =1 (-1) k k 2 k (3 k )! . (b) ∞ X k =1 (-1) k 5 k k 2 . 4. ( 30 points ) Find the radius of convergence of the given series, and the set of points for which it converges. Find the set of points for which the series di-verges. When the series converges, determine whether the convergence is absolute or conditional. (a) ∞ X k =0 (-1) k x 2 k 4 k . (b) ∞ X k =0 (-1) k (3 x + 1) k √ k ....
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This note was uploaded on 02/29/2008 for the course MATH 22 taught by Professor Dodson during the Summer '05 term at Lehigh University .
- Summer '05