Mathematics · Real Analysis
Let f be a bounded twice continuously differentiable real-valued function on (0, ∞) such that f''(x) ≥ 0 for all x ∞ (0, ∞). Which of the following statements is necessarily true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f'(x) ≤ 0 for all x > 0
- 2limx→∞ f'(x) = 0✓
- 3limx→∞ x f'(x) need not exist
- 4limx→∞ x f'(x) = 0
Correct answer
limx→∞ f'(x) = 0
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