CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2010

  • question_answer
    The function \[f(x)=[x],\]  where [x] denotes the greatest integer not greater than x, is

    A) continuous for all non-integral values of x

    B) continuous only at positive integral values of x

    C) continuous for all real values of x

    D) continuous only at rational values of x

    Correct Answer: A

    Solution :

    Given \[f(x)=[x]\] from the graph we observe that \[f(x)=[x]\] discontinuous at every integral value of x. That means, \[f(x)=[x]\]. Continuous only for all non-integral values of x. Degree


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