Mathematics · Real Analysis
If {xn} is a convergent sequence in &doublestruck;R and {yn} is a bounded sequence in &doublestruck;R, then which of the following statements must be true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1{xn + yn} is convergent
- 2{xn + yn} is bounded✓
- 3{xn + yn} has no convergent subsequence
- 4{xn + yn} has no bounded subsequence
Correct answer
{xn + yn} is bounded
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