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NDA2012MathematicsContinuity and DifferentiabilityActual

Which one of the following is correct in respect of the function f(x)= x^2 |x| for x 0 and f(0)=0 ?

Options

  1. Af(x) is discontinuous every where
  2. Bf(x) is continuous every where
  3. Cf(x) is continuous at x=0 only
  4. Df(x) is discontinuous at x=0 only

Correct answer

B. f(x) is continuous every where

Step-by-step solution

f(x) is continuous every where.

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