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

Either give an example of sequences (sn) and (tn) satisfying the properties 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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Colby Messinger answered 1 year ago

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

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