EDB β€” 0D4

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Exercises

  1. [0D4]Difficulty:*. Show that from any sequence \((a_ n)_ nβŠ† ℝ\) we can extract a monotonic subsequence such that

    \[ \lim _{kβ†’βˆž}a_{n_ k}=\limsup _{nβ†’βˆž} a_ n \quad . \]

    Solution 1

    [0D5]

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  • subsequence
  • convergence, of a series
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