12th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-3

  • question_answer
    If \[f(x)\,=\sqrt{1-\sqrt{1-{{x}^{2}}}}\], then at x = 0

    A)  f(x) is differentiable as well as continuous.

    B)  f(x) is differentiable but not continuous.

    C)  f(x) is continuous but not differentiable.

    D)  f(x) is neither continuous nor differentiable.

    Correct Answer: C


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