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J & K CET Engineering J and K - CET Engineering Solved Paper-2005

  • question_answer
    If l(x) is the least integer not less than x and g(,x) is the greatest integer not greater than x, then \[\underset{x\to e+\pi }{\mathop{\lim }}\,\{l(x)+g(x)\}\] is equal to

    A)  \[9\]             

    B)  \[13\]

    C)  \[1\]             

    D)  None of these

    Correct Answer: D

    Solution :

    \[\underset{x\to e+\pi }{\mathop{\lim }}\,\{l(x)+g(x)\}\] \[=\underset{x\to 5.81}{\mathop{\lim }}\,\{l(x)+g(x)\}\] \[=(5.81)+[5.81]=6+5=11\]


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