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    Let (a_n) be a bounded sequence and assume lim b_n=0.show that lim(a_n b_n)=0.

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    https://brainmass.com/math/real-analysis/real-analysis-bounded-sequence-25459

    Solution Preview

    Proof:

    a_n is a bounded sequence, so we can find M>0 such that ...

    Solution Summary

    This solution shows how to prove the limit of a sequence is zero.

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