Q108 / 180 · KCET 2015 · Mathematics

The function \( f(x)=[x] \), where \( [x] \) denotes greatest integer function is continuous at

  • A
    \( 04 \)
  • B
    \( -2 \)
  • C
    \( 11 \)
  • Correct answer
    D
    \( 1.5 \)

Solution

Given that, \( f(x)=[x] \)
As we know that the greatest integer functions are discontinuous at integers.
Therefore, \( f x() \) is continuous at \( 1.5 \)

Hence, the correct answer is option: 'D'.

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