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The function \(f(x) = [x]\cos\left[\frac{2x - 1}{2}\right]\pi\), where \([\,\cdot\,]\) denotes the greatest integer function, is discontinuous at
The function \(f(x) = [x]\cos\left[\frac{2x - 1}{2}\right]\pi\), where \([\,\cdot\,]\) denotes the greatest integer function, is discontinuous at
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Greatest integer function \([x]\) has jump discontinuities at integers.
Updated On: Apr 7, 2026
- all \(x\)
- no \(x\)
- all integral points
- \(x\) which is not an integer
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The Correct Option is C
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