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Either give an example of sequences (sn) and (tn) satisfying the properties or explain why such...

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Advance Math

Either give an example of sequences (sn) and (tn) satisfying theproperties or explain why such sequences do not exist.

(a) (sn) converges, (tn) diverges, (sn + tn) converges.

(b) (sn) converges, (tn) diverges, (sntn) converges.

(c) (sn) diverges, (tn) diverges, (sntn) converges.

(d) (sn) is bounded, (tn) converges, (sntn) diverges.

(e) (sn) converges, (tn) converges, tn 6= 0 for all n, ( sn tn )diverges.

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