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QUESTION
Let {s n } be a sequence such that |s n +1 s n | lt; 2 n for all n N. Prove that {s n } is a Cauchy sequence and hence converges.
Let {sn} be a sequence such that |sn+1 − sn| < 2−n for all n ∈ N. Prove that {sn} is a Cauchy sequence and hence converges.
