ges. 54. Plot a graph of the sequence {a,,), for a, (-1)"n = Then n+1 determine the limit of the sequence or explain why the sequence diverges. 55-70. More sequences Find the limit of the following sequences or determine that the sequence diverges. (-1)") 55. 2" 56. cos (n/2) 57. a, = (-1)" n 58. n 59. n sin (nm/2) n+ 1 61. a, e cos n 63. 65. 67. {tan} n "} {cos n} sin n 60. ((-1)+1 n- 2n + n 62. an === 2 sin (en) (2n + n) tan 64. n + 4 sin 6n 66. in 6n} 68. 2" {S" x dx} 75"-1 5" sin n 69. + 99" 8" 70. {cos (0.99") + 7" +9" 63"