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Exercises

  1. [0DY](Proposed on 2022-12-13) Find two sequences \((a_ n)_ n,(b_ n)_ n\) with \(a_ n,b_ n{\gt}0\) such that \(βˆ‘_{n=0}^∞ (-1)^ n a_ n\) is convergent, \(βˆ‘_{n=0}^∞ (-1)^ n b_ n\) is non-convergent, and \(\lim _{nβ†’βˆž} a_ n/b_ n=1\).

    Solution 1

    [0DZ]

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