Question: 6. Give an example of two sequences (a,) and (b, ) such that all of the following are simultaneously true: (a,,) is bounded, (b,) converges

6. Give an example of two sequences (a,) and (b, ) such that all of the following are simultaneously true: (a,,) is bounded, (b,) converges but neither (a,, + by,) or (a,b,) converge

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