Determine whether each of the series is absolutely convergent, conditionally convergent, or divergent, using any convergence test:

(1) (2) (3)

(4) (5) (6)

(7) (8) (9)

(10) (11) (12)

(13)

Extra - Rogawski problems

The following problems are drawn from the J. Rogawski textbook, p585:

For each series, state a convergence test that will show whether it converges or diverges. (If you have time, write further details for application of the test.)

(43) (44) (45)

(46) (47) (48)

(49) (50) (51)

(52) (53) (54)

(55) (56)