1. Using any test covered in this chapter, find out which of the following series converge absolutely, which converge conditionally, and which diverge.

Loo 3·5··· (2k + 1)

(a) .

2·4·· ·2k k=l Loo 1·3··· (2k - 1)

(b) 5·7··· (2k) + 3" k=l 00 1

(c) L (log k)loglog k •

k=2

(d)f(/k- l)k k=l /k