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Define sequences (sn) and (tn) as follows: if n is even, sn=n and tn=1/n if n...

Define sequences (sn) and (tn) as follows: if n is even, sn=n and tn=1/n if n is odd, sn=1/n and tn=n, Prove that both (sn) and (tn) have convergent subsequences, but that (sn+tn) does not

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