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Manipal MET2019MathematicsContinuity and Differentiability

The function f(x)=[x] [ 2 x-1 2 ] where [] denotes the greatest integer function, is discontinuous at

Options

  1. Aall x
  2. Bno x
  3. Call integral points
  4. Dx which is not an integer

Correct answer

C. all integral points

Step-by-step solution

We have f(x)=[x] [ 2 x-1 2 ] Since, g(x)=[x] is always discontinuous at all integral values of points. Hence, f(x) is discontinuous for all integral points.

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