EDB — 0SN

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Exercises

  1. [0SN] Prerequisites:[0QZ], [0N3]. Given a sequence \((x_ k)_ k⊆ ℝ^ n\), these facts are equivalent

    a

    the sequence is bounded and has a single limit point \(x\)

    b

    \(\lim _ k x_ k=x\).

    Solution 1

    [0SP]

    See also [0QY].

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  • cluster point, in a metric space
  • metric space
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