Mathematics · Riemann Integration
Let f(x) be a function defined on [0, 1] such that f(x) = 1 when x is rational and f(x) = −1 when x is irrational. Then f is:
- 1Unbounded but not R-integrable
- 2Unbounded and R-integrable
- 3Bounded but not R-integrable✓
- 4Bounded and R-integrable
Correct answer
Bounded but not R-integrable
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