The function f(x) = [x] (greatest integer function) is discontinuous at:
The function f(x) = [x] (greatest integer function) is discontinuous at:
- A. all integer points
- B. all points
- C. x = 0 only
- D. no point
Answer: A) all integer points
Explanation: Greatest integer function is discontinuous at every integer n because LHL = n−1, RHL = n, f(n)=n, so LHL ≠ RHL.
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