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KCET2015MathematicsComplex Number

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

Options

  1. A( 04 )
  2. B( -2 )
  3. C( 11 )
  4. D( 1.5 )

Correct answer

D. ( 1.5 )

Step-by-step 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 )

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