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Most Important Selected Qs for JEE AdvancedMathematicsContinuity and Differentiability

f(x)= array cc x+2, & x 2 x^2, & 2 x 3 x^3-18, & x 3 array .

Options

  1. Af(x) is continuous in R .
  2. Bf(x) is discontinuous at 'a' for some a R .
  3. Cf(x) is continuous at infinitely many real x .
  4. Df(x) is discontinuous at infinitely many real x .

Correct answer

C. f(x) is continuous at infinitely many real x .

Step-by-step solution

f is discontinuous at points outside its domain.

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