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Both ex 4.26. Is it true that if (an) oscillates at infinity and is unbounded, and (bn) is bounded, then (an + bn) oscillates at

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Both ex

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4.26. Is it true that if (an) oscillates at infinity and is unbounded, and (bn) is bounded, then (an + bn) oscillates at infinity and is unbounded? 4.27. Let (an) be sequence (18) from Example 4.1, that is, let an be the nth term in the decimal expansion of v2. Prove that the sequence (an ) oscillates at infinity. (H)

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