Mathematics · Real Analysis
Let (an)n≥1, (bn)n≥1, and (cn)n≥1 be sequences given by an = (-1)n (1 + e-n), bn = max{a1, ..., an}, and cn = min{a1, ..., an}. Which of the following statements is NOT true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1limn→∞ bn = limn→∞ cn✓
- 2lim infn→∞ an = limn→∞ cn
- 3lim supn→∞ an = limn→∞ bn
- 4(an)n≥1 does not converge.
Correct answer
limn→∞ bn = limn→∞ cn
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