Question: 8.5. (a) Consider three sequences (an), (bn) and (S,) such that an Sn 8.5. (a) Consider three sequences (an), (bn) and (sn) such that an

8.5. (a) Consider three sequences (an), (bn) and (sn) such that an

8.5. (a) Consider three sequences (an), (bn) and (S,) such that an Sn

8.5. (a) Consider three sequences (an), (bn) and (sn) such that an sn bn for all n and liman limbn s. Prove that limsn = s. (b) Suppose that (sn) and (tn) are sequences such that isnt tn for all n and lim tn = O. Prove that lim sn O.

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