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Thread: Student the power serie

  1. January 2nd 2010, 09:03 AM #1
    dhiab
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    Student the power serie

    1)Student the power serie :

    \sum n^{(-1)^{n}}\times x^{n}







    in : x = 1,x = \frac{1}{2}<br />
    2) Same question but :

    \left\{ \begin{array}{l}<br /> x = a \\ <br /> \left| a \right| < 1 \\ <br /> \end{array} \right.<br />
    Give the radius and int of convergence
    Last edited by dhiab; January 2nd 2010 at 09:21 AM.
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  2. January 3rd 2010, 09:22 PM #2
    Dark Sun
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    Since the \lim _{n\rightarrow \infty }\limits n^{(-1)^n}\times x^n\neq 0, we cannot conclude that the series converges.
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