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KCET2023MathematicsContinuity and Differentiability

The function f(x)= x is discontinuous on every point of the set

Options

  1. Ax=2 n ; n Z
  2. Bx=(2 n+1) 2 ; n Z
  3. Cx= n 2 ; n Z
  4. Dx=n ; n Z

Correct answer

D. x=n ; n Z

Step-by-step solution

Given, f(x)= x f(x)= x x We know that x=0 , if f(x) is discontinuous If x=0 x=n , n n So, the given function f(x) is discontinuous on the set x=n , n Z

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