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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2007

  • question_answer
    The period of the function\[f(x)={{a}^{\{\tan (\pi x)+x-[x]\}}},\]where\[a>0,[\,\,.\,\,]\]denotes the greatest integer function and\[x\]is a real number, is

    A)  \[\pi \]                                

    B)  \[\pi /2\]

    C)  \[\pi /4\]           

    D)         \[2\pi \]

    E)  1

    Correct Answer: E

    Solution :

    \[\because \]     \[f(x)={{a}^{\{\tan (\pi x)+x-[x)\}}}\] \[={{a}^{\{\tan (\pi x)+x\}}}\] From above it is clear that period of\[f(x)\]is 1.


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