Multiple Choice Questions on A function is defined as follows f x minus x radic x2 x ne 0 nbs........... for NDA Exam Preparation

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Multiple Choice Questions

A function is defined as follows f x minus x radic x2 x ne 0 nbs...........

Mathematics (NDA) Relations and Functions
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     A function is defined as follows:

    f(x) = { − x / √x2,  x ≠ 0

              {            0, x = 0

    Which one of the following is correct in respect of the above function?

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

    Incorrect Answer

    f(x) is continuous as well as differentiable at x = 0

    Incorrect Answer

    f(x) is discontinuous at x = 0

    Correct Answer

    None of the above

    Incorrect Answer
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    Explanation:

    f(x) = {       −1, x > 0

              {  0,

              {             x = 0

              {       −1, x < 0

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