- #1

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## Homework Statement

All I want to show is that the following infinite series converges,

[itex] \Sigma_{n=1}^{\inf} = \bigg(1 - n\ln\big(\frac{2n+1}{2n-1}\big)\bigg)[/itex]

## Homework Equations

Various series tests...

## The Attempt at a Solution

I tried doing a ratio test, after applying L'Hopital's rule, but I simply get 1, which is indeterminate... can anyone help me get this thing solved? Maybe suggest the proper test to use?