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Please do questions 3-10. DIRECTIONS: For each series, state the convergence test which could be applied to determine if the given series converges or diverges,

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Please do questions 3-10.

DIRECTIONS: For each series, state the convergence test which could be applied to determine if the given series converges or diverges, then write a statement which is necessary for initiating the chosen test. Use each test only one. Choose from the following. (a) telescoping series test (6) geometric series test (c) n-th term test for divergence (d) p-series test (e) integral test (f) direct comparison test (g) alternating series test (h) limit comparison test (i) absolute convergence test (j) ratio test 1. 7 7 7 7 + + + 4 9 16 25 +... 2. CTICO 3 3 3 3 + + + 25 125 625 +... 15 16 17 3. + + + 18 +... 17 14 15 16 4. 5 (k + 1)2 k2 k=1 00 6 5. n+1 n=2 2n 3n+4 n=2 iM8 M8 7. (-1)" Vn +5 n=3 OX 8. sin yn n2 + 6 n=2 9. WI (-1)n+121 n! n=2 10. 8 k(In k)3 k=2

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