Mathematics · Real Analysis
Which of the following statements regarding sequences in real numbers (ℝ) is incorrect?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Any convergent sequence is a Cauchy sequence.
- 2Any real Cauchy sequence is convergent.
- 3In ℝ, every bounded monotonic sequence is divergent.✓
- 4Any Cauchy sequence is bounded.
Correct answer
In ℝ, every bounded monotonic sequence is divergent.
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