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Math Help - series, radius of convergance and interval of convergance

  1. #1
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    series, radius of convergance and interval of convergance

    am having trouble with this particular problem

    the sum from 0 to infinity of (n!)^k/(kn)! * X^n

    can someone also explain the ! factorial part to me please also

    thank you very much
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  2. #2
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    \lim_{n\rightarrow\infty} \frac{n!^k}{(kn)!} * x^n

    Try the Ratio Test.
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  3. #3
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    Quote Originally Posted by lilaziz1 View Post
    \lim_{n\rightarrow\infty} \frac{n!^k}{(kn)!} * x^n

    Try the Ratio Test.


    should i include X^n also in the ratio test??
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