The following problems are drawn directly from p781 of the official textbook by J. Stewart. They are for optional, additional practice only. They are not necessarily representative of problems on APMA 1110 exams.

Two similar-looking series are given. Test each one for convergence or divergence:

(1) (a) (b)

(2) (a) (b)

(3) (a) (b)

(4) (a) (b)

(5) (a) (b)

(6) (a) (b)

(7) (a) (b)

(8) (a) (b)

Test the series for convergence or divergence:

(9) (10) (11)

(12) (13) (14)

(15) (16) (17)

(18) (19) (20)

(21) (22) (23)

(24) (25) (26)

(27) (28) (29)

(30) (31) (32)

(33) (34) (35)

(36) (37) (38)

(39) (40) (41)

(42) (43) (44)

(45) (46) (47)

(48)