Could someone please check my work

3. Is it true that " lim a. - 0 iff lim Ja,] = 07: Yes No Prove or give a counterexample: Suppose lim S. = 0. "> Ve > 0, 3N E N such that Vn > N , |sn - 0| = (8,) lim |8n| = 0 implies VE > 0, 3N E N such that Vn > N , 1Isml - 01 = 1/snll = 18,| 0, 3N E N such that Vn > N, |/sn) - 0| = 1/sall = 1sal