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The function  denotes the greatest integer function, is discontinuous at
  • a)
    All x
  • b)
    All integer points
  • c)
    No x
  • d)
    x which is not an integer
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The function denotes the greatest integer function, is discontinuous a...
When x is not an integer, both the functions [x] and cos   are continuous.
∴f (x) is continuous on all non integral points.

∴ f is continuous at all integral pts as well.
Thus, f is continuous everywhere.
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The function denotes the greatest integer function, is discontinuous ata)All xb)All integer pointsc)No xd)x which is not an integerCorrect answer is option 'C'. Can you explain this answer?
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