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let [x] denote the greatest integer less than or equal to x. if f(x)=[x sin(pix)] then f(x) is continuous in (-1,0) Differentiable at x=1 Differentiable in (-1,1) Which of the statements are correct?

let [x] denote the greatest integer less than or equal to x. if f(x)=[x sin(pix)] then f(x) is
  1. continuous in (-1,0)
  2. Differentiable at x=1
  3. Differentiable in (-1,1)
Which of the statements are correct?
  

Grade:12

1 Answers

Deepak Kumar Shringi
askIITians Faculty 4404 Points
5 years ago
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