Mathematics · Real Analysis
Let f : &mathbb;N → &mathbb;N be a bounded function. Which of the following statements is NOT true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1lim sup n → ∞ (f(n) + n) ∉ &mathbb;N
- 2lim inf n → ∞ (f(n) + n) ∈ &mathbb;N✓
- 3lim inf n → ∞ f(n) ∈ &mathbb;N
- 4lim sup n → ∞ f(n) ∈ &mathbb;N
Correct answer
lim inf n → ∞ (f(n) + n) ∈ &mathbb;N
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