$\lim_{n\to\infty}\sqrt[n]{|a_n|}=L<1\Rightarrow\sum a_n\text{ conv. }$ CHK
$\lim_{n\to\infty}\sqrt[n]{|a_n|}=L>1\Rightarrow\sum a_n\text{ div. }$
$\lim_{n\to\infty}\sqrt[n]{|a_n|}=L=1\Rightarrow$ the root test is inconclusive.


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[[근,루트,root]]

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