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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2008

  • question_answer
    If\[f(1)=1,f(1)=2,\]then\[\underset{x\to 1}{\mathop{\lim }}\,\frac{\sqrt{f(x)}-1}{\sqrt{x}-1}\]is

    A)  2                            

    B)         4

    C)  1                            

    D)         1/2

    E)  3

    Correct Answer: A

    Solution :

    \[\underset{x\to 1}{\mathop{\lim }}\,\frac{\sqrt{f(x)}-1}{\sqrt{x}-1}\] Using\[L\]Hospitals rule, \[=\underset{x\to 1}{\mathop{\lim }}\,\frac{\sqrt{x}f(x)}{\sqrt{f(x)}}=\frac{1.f(1)}{f(1)}=\frac{2}{1}=2\]


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