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The function f(x)  where [x] denotes the greatest integer less than or equal to x, is
  • a)
    discontinuous at x = π
  • b)
    continuous at x = π
  • c)
    discontinuous for some finite values of x
  • d)
    continuous for all x
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The function f(x)where [x] denotes the greatest integer less than or e...
We have 
Taking all the integral values from π/2 to 3π/2 gives the integer.
 
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The function f(x)where [x] denotes the greatest integer less than or equal to x, isa)discontinuous at x = πb)continuous at x = πc)discontinuous for some finite values of xd)continuous for all xCorrect answer is option 'D'. Can you explain this answer?
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