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Suppose that you can apply the Ratio Test to $\Sigma a_{n}$. Let $r$ be the limit of $|a_{n+1}|/|a_{n}|$. Show that $\lim\sup|a_{n}|^{1/n}=r$ as $n\rightarrow\infty$.

I know by definition of lim sup that $\forall\epsilon>0$, $\exists N_{\epsilon}$ s.t. $x_{n} $\forall n>N_{\epsilon}$. Not sure how to apply that here though.

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    This is a special case of the result from this question: http://math.stackexchange.com/questions/69386/inequality-involving-limsup-and-liminf2014-03-21

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