Solved: LetThe Root Test says the following: (i) If , then is absolutely convergent

Chapter 8, Problem 38

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LetThe Root Test says the following: (i) If , then is absolutely convergent. (ii) If (or ), then is divergent. (iii) If , then the Root Test is inconclusive. (Like the Ratio Test, the Root Test is proved by comparison with a geometric series.) Determine whether the given series is absolutely convergent.

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