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The function f x = x sin π x , where [.] denotes the greatest integer function and . is the fractional part function, is discontinuous at

Options

  1. Aall x
  2. Ball integer points
  3. Cno x
  4. Dx which is not an integer

Correct answer

C. no x

Step-by-step solution

f x = x  sin  π x = x sin (integral multiple of π ) =   0 Hence, f ( x ) is continuous for all x .

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