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Math Help - find radius of convergence

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    find radius of convergence

    find radius of convergence of sum(upper bound infinity and lower bound n=0) n!x^n
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by bonselsm View Post
    find radius of convergence of sum(upper bound infinity and lower bound n=0) n!x^n
    by the ratio test, the radius of convergence will be given by the bounds of x such that

    \lim_{n \to \infty} \bigg| \frac {(n + 1)! x^{n + 1}}{n!x^n} \bigg| < 1

    be sure to check the end points. see post #2 here on how to do that

    you may also want to check this out
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