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BITSAT2009MathematicsApplication of DerivativesActual

The set of points of discontinuity of the function (1 / | x | ) is -

Options

  1. A( -1,0,1 )
  2. B( 0 )
  3. C( 0,1 )
  4. DNone of these

Correct answer

A. ( -1,0,1 )

Step-by-step solution

Let (f(x)= 1 |x| ) The points of disconinuity of (f(x) ) are those points where (f(x) ) is undefined or infinite. It is undefined when (x=0 ) and is infinite when ( |x|=0,|x|=1 ), i.e. (x= 1 ). ( ) Set of points of discontinuity (= -1,0,1 ).

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