The function f(x) = [x], where [x] denotes the greatest integer function, is continuous at:
The function f(x) = [x], where [x] denotes the greatest integer function, is continuous at:
- A. x = 1
- B. x = 1.5
- C. x = 2
- D. x = 0
Answer: B) x = 1.5
Explanation: The greatest integer function [x] is continuous at all non-integer points and has jump discontinuities at all integer points.
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