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KCET2016MathematicsContinuity and Differentiability

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

Options

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

Correct answer

A. ( 1.5 )

Step-by-step solution

As we know that ( [ x ] ) is discontinuous at all integers and it iscontinuous everywhere else. Therefore, ( f(x)=[x] ) is continuous at ( 1.5 ).

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