Question: Suppose that ak and bk are nonnegative for all k N. Prove that if k=1 ak and k=1 bk converge, then k=1 akbk also

Suppose that ak and bk are nonnegative for all k ∈ N. Prove that if ∑∞k=1 ak and ∑∞k=1 bk converge, then ∑∞k=1 akbk also converges.

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