Mathematics · Real Analysis
Let f be a bounded function on [0, 1]. Suppose there exist two sequences of partitions Pn and Qn with ||Pn|| → 0 and ||Qn|| → 0, such that their corresponding Riemann sums converge to different limits I1 and I2 (I1 ≠ I2). Then:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f is Riemann Integrable
- 2f is not Riemann Integrable✓
- 3f is continuous
- 4f is constant
Correct answer
f is not Riemann Integrable
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