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AP EAMCET202316 May 2023Evening ShiftMathematicsContinuity and DifferentiabilityActual

Let [ t ] represents the greatest integer not more than t .Then the number of discontinuous points of f(x)= [X^ 1 x ] in (0, ) is

Options

  1. A0
  2. B1
  3. C2

Correct answer

B. 1

Step-by-step solution

Given f(x)= [x^ 1 x ] Now for discontinuous point x^ 1 x = integer x^ 1 x = integer only 1 possible so f(x)= [x^ 1 x ] is discontinuous at only one point.

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