-alternatives 51. conv. by alt. ser. 52. div, harmonic -int. test -p-series 53. conv p-series (p=3/2) -int. test 54. conv geom. ( |r| < 1 ) -ratio 55. div by nth term (lim an > 0) -lim comp (2 + 2 + 2...) -direct comp w/ harmon. 56. div by lim comp to harmonic -int. test 57. div geom. ( |r| >= 1) -ratio possible -nth term 58. conv p-series (p=3/2) -int. test 59. ratio test, conv. lim. comp (1/2)^n 60. ratio test, div. lim. comp (2)^n nth term 61. abs. conv. dir. comp. w/ (1/2)^n, conv. abs. 62. alt. series conv. 63. ratio test, conv. 64. direct comp. to p-series (1