Test 3 - TEST 3(MATH 200(A Fall 06 1 Use partial fractions to show that k(k 1 1 k 1 1(10 pts 2 For the geometric series(a the first three terms e n 0 3

Test 3 - TEST 3(MATH 200(A Fall 06 1 Use partial fractions...

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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)