Mathematics · Real Analysis
The necessary and sufficient condition for a bounded function f to be Riemann integrable on [a, b] is that for every ε > 0, there exists a partition P such that which of the following conditions holds?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1U(f, P) - L(f, P) < ε✓
- 2U(f, P) - L(f, P) = ε
- 3U(f, P) - L(f, P) > ε
- 4U(f, P) + L(f, P) = 0
Correct answer
U(f, P) - L(f, P) < ε
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