1. State and prove divergence or convergence for each of the following series. a. . n+2 b. 2" n! 3" n! C. d. nan IM : (n+ 3) (2n-1)! e, IM : (n!) f. Vn + cosn 2" n' g. IM: n!In n 1-38 Test the series for convergence or divergence. 19. E (-1)" J n- - 1 1. n - 1 2. > heIn + 1 nin + 1 21. > (-1)" cos(12) 3. > (-1)" n2 - 1 n' - 1 n= 1 13 + 1 4. > (-1)" 1=1 n- + 1 23. > tan(1) E n 6. > n=1 n (1 + n) 3n n! 25. 7. > 8. > (-1) "-In24 en2 n=2 NV In n 4" IM : IM : k In k TT 2n 27. 9. > (-1)" 10. _ ne-13 (k + 1)3 1=0 (2n)! 29. E (-1)" 11. E + 12. S *= 1 kyk2 + 1 n=1 cosh n 3" n2 po 5 k 13. sin 2n 14. 31. n! 1=1 1 + 2" 3* + 4 *5. 1/1 points | Previous Answers La Cale11 9.5.092 My Notes Q) Ask Y Determine whether the series converges absolutely or conditionally, or diverges. converges conditionally O converges absolutely diverges Need Help? Talk to a Tuter - points LerCalci1 9 $061 My Notes O Ask Your Find the values of p for which the series converges. (Enter your answer using interval notation.) Need Help? Talk to a Thatcar5. 1/1 points | Previous Answers La Cale11 9.5.092 My Notes Q) Ask Y Determine whether the series converges absolutely or conditionally, or diverges. converges conditionally O converges absolutely diverges Need Help? Talk to a Tuter - points LerCalci1 9 $061 My Notes O Ask Your Find the values of p for which the series converges. (Enter your answer using interval notation.) Need Help? Talk to a ThatcarIn Exercises 9-18, determine the convergence or divergence of the sequence with the given ath term. If the sequence converges, find its limit. (b and c are positive real numbers.) 7 5 9. an + 3 10. a = 1+ 8 n + 1 n' + 1 11. a, = 12. a, = n 13. a, = 14. a, 12+ 1 In n 15. a, = n + 1 - 16. a, = 1 2n