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MHT CET2019Evening ShiftMathematicsFunctionsActual

If f x = x , where x is the greatest integer not greater than x, then f ' 1 + = ….

Options

  1. A1
  2. B2
  3. C0
  4. D-1

Correct answer

C. 0

Step-by-step solution

We have, f x = x ∴ f ' 1 + = l i m x → 1 + f x - f 1 x - 1 = l i m h → 0 f 1 + h - f 1 h l i m h → 0 1 + h - 1 h ⇒ l i m h → 0 1 - 1 h = 0

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