Only solve #33 , #37, #41

Determining Convergence or Divergence In Exercises 29-44, determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. 5 29. an = 30. a, = n - n + 2 n! 31. a, = (-1)" n 1+(-1)" 32. a = n + 1 n2 3n + n 3 33. a, 34. an = An 3 + 1 In(n3 ) 35. an 36. a, = 2n An (n + 1 )! (n - 2)! 37. a, 38. a, = n! n! np 39. a, = P > 0 40. a, = n sin - n 41. a, = 21 42. a, = -3-n sin n cos 2n 43. an 44. am n 3n