EDB — 0QZ

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Exercises

  1. [0QZ] Prerequisites:[0MW],[0N8].

    • If a sequence \((a_ k)_ k⊆ X\) converges to \(x\) then it has an unique limit point, which is \(x\).

    • If a Cauchy sequence \((a_ k)_ k⊆ X\) has a limit point then there is only one limit point \(x\) and \(\lim _ k a_ k=x\).

    Solution 1

    [0R0]

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Bibliography
Book index
  • accumulation point, in metric spaces
  • topology, in metric spaces
  • metric space
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