Convergence of series with term (n/(n+1))^(n^2)

[mikbear]

Hello. I.m struggling to understand how to test for convergent and divergent.
∞
Ʃ (n/(n+1))^(n^2)
n=1

 

[HallsofIvy]

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?