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NDA2011MathematicsContinuity and DifferentiabilityActual

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

Options

  1. Af(x) is not continuous at x=0
  2. Bf(x) is differentiable at x=0
  3. Cf(x) is continuous but not differentiable at x=0
  4. DNone of the above

Correct answer

C. f(x) is continuous but not differentiable at x=0

Step-by-step solution

The correct answer is option (C).

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