Series Test for convergent and divergent

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The discussion focuses on understanding how to test for convergence and divergence of the series ∞ Ʃ (n/(n+1))^(n^2) from n=1. Participants mention that there are various tests available for series convergence, specifically highlighting the ratio test and root test as applicable methods for this series. The original poster seeks clarification on these tests and their application. The conversation emphasizes the importance of selecting the appropriate test for accurate results. Understanding these methods is crucial for analyzing series convergence effectively.
mikbear
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Hello. I.m struggling to understand how to test for convergent and divergent.
∞
Ʃ (n/(n+1))^(n^2)
n=1
 
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There are many different tests for convergence of a series. Are you referring to a specific one? For the specific series you give, it looks to me like either the "ratio test" or "root test" will work. Do you know those?
 

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