Question: P3. (6 Pts.) True or False? (If true, prove it, if false, give a counterexample) (i) If an+1 an < 1, for all n 1,

P3. (6 Pts.) True or False? (If true, prove it, if false, give a counterexample) (i) If an+1 an < 1, for all n 1, then P n1 an is convergent. (ii) If the sequence ( an /bn )nN is convergent and (bn)nN is convergent, then (an)nN is convergent. (iii) If P n1 |an| converges, then P n1 |an|^3 converges.

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