Could someone please check my work

For each of the following, prove or give a counterexample. 1. If (n) converges to s, is it true that (Isn |) converges to |s| ?: Yes No Prove or give a counterexample: Let & > 0 . Since (Sn ) converges to s , 3NV E N such that Vn > N, Isn - s| N, |/snl - Isll S Isn - s) N , |1( - 1)"| - 1| = |1 - 1/ = 0 N , |( - 1)" - s|