Mathematics · Real Analysis
Let f be a bounded function on [a, b]. If for every ε > 0 there exists a partition P such that U(f, P) - L(f, P) < ε, then which of the following is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f is monotonic on [a, b]
- 2f is Riemann integrable on [a, b]✓
- 3f is differentiable on [a, b]
- 4f is continuous on [a, b]
Correct answer
f is Riemann integrable on [a, b]
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