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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2009

  • question_answer
    The number of discontinuities of the greatest integer function\[f(x)=[x],x\in \left( -\frac{7}{2},100 \right)\]is equal to

    A)  104                                       

    B)  100

    C)  102                       

    D)         101

    E)  103

    Correct Answer: E

    Solution :

    Given, \[f(x)=[x],x\in (3.5,100)\] As we know greatest integer is discontinuous on integer values. In given interval, the integer values are \[(-3,-2,-1,0,\text{ }...,99)\] \[\therefore \]Total number of integers are 103.


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