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## Proof: (related to "Root Test")

1 Please note that you have to find a fixed number $q$ that is $< 1.$ In order to be able to apply the root test, it does not suffice to show that $\sqrt[n]{|a_n|} < 1$ for all $n > N,$ the inequality must be $\sqrt[n]{|a_n|} < q < 1.$

q.e.d

| | | | created: 2020-02-09 10:10:53 | modified: 2020-02-09 10:12:57 | by: | references: [586]

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