3. (6 marks) Exercise 8.4. Careful: (tn) does not have to converge, s0 Theorem 9.4 can't be used. : 8.4. Let (tn ) be a bounded sequence, i.e., there exists M such that It| M for all n, and let (S,) be a sequence such that lim sn = 0. Prove that lim(Sntn) = 0