Q.31 let the sequence {xnnzıbe given by xn = sin n= 1,2,.. then which of the following statements is/are true? (a) the sequence ixnjna1 has a subsequence that c

I know Option B and C are correct as for sin function infimum and supremum is -1 and 1. but in the answer it is show that Option A is also correct tht, means if the subsequence converges then the sequence also converge . But sine sequence never Converge. Can u explain this...