Mathematics · Real Analysis
Let f and g be two uniformly continuous functions on an interval I, and let each function be bounded on I. Which of the following statements CANNOT be concluded about their product f × g?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f × g is uniformly continuous on the entire set of real numbers ℝ✓
- 2f × g is integrable on I
- 3f × g is bounded on I
- 4f × g is continuous on I
Correct answer
f × g is uniformly continuous on the entire set of real numbers ℝ
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