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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2005

  • question_answer
    The coefficient of\[{{x}^{3}}\]the expansion of\[{{3}^{x}}\]is:

    A)  \[\frac{{{3}^{3}}}{6}\]                                   

    B)  \[\frac{{{(\log 3)}^{3}}}{3}\]

    C)  \[\frac{\log ({{3}^{3}})}{6}\]      

    D)         \[\frac{{{(\log 3)}^{3}}}{6}\]

    E)  \[\frac{3}{3!}\]

    Correct Answer: D

    Solution :

    The coefficient of\[{{x}^{3}}\]in the expansion of\[{{3}^{x}}\] \[=\frac{{{(\log 3)}^{3}}}{3!}=\frac{{{(\log 3)}^{3}}}{6}\]


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