Question: 3) For each statement, give an example with justification or show why no such example exists. (a) Sequences (an) and (bn) which both diverge, and

3) For each statement, give an example with justification or show why no such example exists. (a) Sequences (an) and (bn) which both diverge, and with (an+bn) convergent. (b) Sequences (an) convergent, (bn) divergent, and with (an+bn) convergent. (c) Sequences (an) and (bn) with (anbn) and (an) convergent, but (bn) divergent. (d) Sequences (an) unbounded, (bn) convergent, with (anbn) bounded
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