Select the correct statements. (X) The series 2 k3 diverges. k=l If the rst 100 terms of two innite series are different, but from the lOlst term on they are identical, then either both series converge or both diverge. 00 00 If 2 ak = S is a convergent series and c is a nonzero real number, then 2 (cak) = CS. k:l 1,:] (X) 00 00 If Z (a,' + bk) converges, then 2 ak converges and 2 bk converges. k=l k=l k=l For an innite series of positive terms, if its sequence of partial sums is not bounded, then the series could converge or diverge. Incorrect