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.

(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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Expert Solution

Colby Messinger answered 1 year ago

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