Plz give me a detailed explanation on this 3 examples ,

(ii). V = (-1)": This sequence diverges whereas the sequence is bounded Si H - 1 V s1 Another example would be x = In n, since (iv). equ In n>co but Inn- In(n - 1) = In In 1=0. n-1 at it v). The sequence {sin(nt/2)),a diverges because the sequence is {1, 0, -1, 0, 1, 0, .), and hence it does not converge to any number.