Test 3 - 1 ! n n e n converges or diverges. (15 pts) 6. Use...

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TEST 3 (MATH 200 (A), Fall 06) 1. Use partial fractions to show that 1 ) 1 ( 1 1 k k k . (10 pts) 2. For the geometric series 3 0 n n e , find the following: (15 pts) (a) the first three terms (b) The ratio r (c) The sum of the series. 3. Use the Integral Test to determine whether the series 2 1 5 5 1 2 n n n converges or diverges. (10 pts) 4. Use the Comparison Test to determine whether the series 2 1 1 sin n n n converges or diverges. (10 pts)
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5. Use the Ratio Test to determine whether the series
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Unformatted text preview: 1 ! n n e n converges or diverges. (15 pts) 6. Use the n-th Root Test to determine whether the series 2 1 (2 ) n n n n converges or diverges. (15 pts) 7. Find the Taylor series of 2 1 ) ( x x f at 1 x . Make sure you include the th n- term of the series. (15 pts) 8. Find the radius of convergence around x = 1/2 and the interval of convergence for the power series: 1 ) 2 1 ( 3 k k k x k . (10 pts)...
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This note was uploaded on 04/18/2008 for the course MAT 200 taught by Professor Aristidou during the Fall '06 term at DigiPen Institute of Technology.

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Test 3 - 1 ! n n e n converges or diverges. (15 pts) 6. Use...

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