Mathematics · Topology and Metric Spaces
In a metric space (X, d), which of the following statements is always true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Every closed set is complete.
- 2Every bounded sequence is convergent.
- 3Every convergent sequence is Cauchy.✓
- 4Every Cauchy sequence is convergent.
Correct answer
Every convergent sequence is Cauchy.
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