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SOLVED: (a) Show that if (an) converges to 0 and (bn) is a bounded sequence (but not necessarily convergent), then (an * bn) converges to 0.(b) Give examples of sequences (an) and (bn), n>=1, such that (an) converges to 0, but (an * bn) does not converge to 0.
SOLVED: (a) Show that if (an) converges to 0 and (bn) is a boun…
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