Mathematics · Real Analysis
For each natural number n ≥ 1, let an = n / 10⌈log10n⌉, where ⌈x⌉ is the smallest integer greater than or equal to x (ceiling function). Which of the following statements is true for the sequence {an}?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1lim sup an = 1
- 2lim inf an = 0.15
- 3lim inf an does not exist
- 4lim inf an = 0.1✓
Correct answer
lim inf an = 0.1
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