Determine Whether the Series $\sum _ { n = 2 } ^ { \infty } \ln \frac { n ^ { 2 } } { ( n + 1 ) ( n - 1 ) }$

Short Answer

Determine whether the series $\sum _ { n = 2 } ^ { \infty } \ln \frac { n ^ { 2 } } { ( n + 1 ) ( n - 1 ) }$ is convergent or divergent. If it is convergent, find the sum.