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The range of the function f x = sin ⁡ π x + 1 x 4 + 1 (where, · is the greatest integer function) is

Options

  1. A0 , 1
  2. B- 1 , 1
  3. C0
  4. DNone of these

Correct answer

C. 0

Step-by-step solution

Since, x + 1 is an integer ∴ f x = sin ⁡ π x + 1 x 4 + 1 = 0 Hence, range of f = R f = 0

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