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Use the integral test to determine whether the series converges. 12) 5 n=1 13) 4n n2+5 Use the Comparison Test to determine if the series
Use the integral test to determine whether the series converges. 12) 5 n=1 13) 4n n2+5 Use the Comparison Test to determine if the series converges or diverges. 14 ) 4+5 cos n 15 n=1 15) 9n +7~n n=1 Use the limit comparison test to determine if the series converges or diverges. 8 16) iMS 5n - 8 In n - 2 17) 7 +6 sin n 5n5/4 +7 cos n n=14 arctan( n) 1 + n2 Put 'C' below if the integral converges, or 'D' if it diverges.(1 point) Test each of the following series for convergence by either the Comparison Test or the Limit Comparison Test. If either test can be applied to the series, enter CONV if it converges or DIV if it diverges. If neither test can be applied to the series, enter NA. (Note: this means that even if you know a given series converges by some other test, but the comparison tests cannot be applied to it, then you must enter NA rather than CONV.) 1. i 7112 =1 :14 + 10 2. i 5H4 n3 + 7% ":1 3115 n2 + 4 3. cos(n) Z "In + 10 nl 4. Test the series for convergence or divergence. n- 1. ) 13+1 2. [ (-1)172 - 1 1=1 n2+ 1 3. 12 2n 4. ) 1=1 (1 + n) 3n 5. 6. (-1) 2 n=2nv Inn (2n)! . E sin(2n) Vn+ +1 8. I 1=1 1 + 20 1=1 n' +n 10. En sin 1=1 11. E (n!)" 12. [ 1=1 1 . 3 .5 . . . (2n- 1) 13. iM: 2.5 -8.-. (3n - 1) 14. [ 11=2 In(n ) In(n) 15. E (V2-1)" 16. _ (-1)"cos (1?) n=1 1=1Test the series for convergence or divergence. n- 1. ) 13+1 2. [ (-1)172 - 1 1=1 n2+ 1 3. 12 2n 4. ) 1=1 (1 + n) 3n 5. 6. (-1) 2 n=2nv Inn (2n)! . E sin(2n) Vn+ +1 8. I 1=1 1 + 20 1=1 n' +n 10. En sin 1=1 11. E (n!)" 12. [ 1=1 1 . 3 .5 . . . (2n- 1) 13. iM: 2.5 -8.-. (3n - 1) 14. [ 11=2 In(n ) In(n) 15. E (V2-1)" 16. _ (-1)"cos (1?) n=1 1=1
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