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Sticky Note
A convergent sequence in a metric space is?
  1. Bounded
  2. Not constant
  3. Unbounded
  4. None of these
Explanation
  • A convergent sequence in a metric space is bounded.
  • This means that the sequence has a finite limit, and all terms of the sequence are within a finite distance from this limit.
  • As a result, the sequence is bounded, meaning it has a finite upper and lower bound.

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