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NDA2017MathematicsContinuity and DifferentiabilityActual

Let g be the greatest integer function. Then the function f( x )=( g ( x ))^2- g ( x ) is discontinuous at

Options

  1. Aall integers
  2. Ball integers except 0 and 1
  3. Call integers except 0
  4. Dall integers except 1

Correct answer

D. all integers except 1

Step-by-step solution

f(x)=(g(x))^2-g(x) Given, g(x) is greatest integer function. So, g(x)=[x] . f(x)=[x]^2-[x]f(x) is discontinuous at every integer except x=1

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