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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2000

  • question_answer
    Rolles theorem is not applicable for the function\[f(x)=|x|\]in the interval\[[-1,1]\]because:

    A) \[f(1)\]does not exist

    B)  \[f(-1)\]does not exist

    C)  \[f(x)\]is discontinuous at\[x=0\]

    D)  \[f(0)\]does not exist

    E)  \[f(x)\]is discontinuous at\[x=\pm 1\]

    Correct Answer: D

    Solution :

    Rolles theorem is not applicable for the function\[f(x)=|x|\]in\[[-1,1]\]\[\because \]\[f(0)\]does not exist.


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