JEE Main & Advanced Mathematics Functions Question Bank Limits

  • question_answer
    \[\underset{x\to 3}{\mathop{\lim }}\,\,[x]=\], (where [.] = greatest integer function) [DCE 2002]

    A)                 2

    B)                 3

    C)                 Does not exist

    D)                 None of these

    Correct Answer: C

    Solution :

                       \[\underset{h\to {{0}^{+}}}{\mathop{\lim }}\,\,[3+h]=3\] and \[\underset{h\to {{0}^{-}}}{\mathop{\lim }}\,\,[3-h]=2\]                 \ \[\underset{x\to 3}{\mathop{\lim }}\,\,\,[x]\] does not exist.


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