Determine Whether the Series Is Convergent or Divergent by Expressing $S _ { n }$

Determine whether the series is convergent or divergent by expressing $S _ { n }$ as a telescoping sum. If it is convergent, find its sum. $\sum _ { n = 2 } ^ { \infty } \frac { 3 } { n \left( n ^ { 2 } - 1 \right) }$ .

A) diverges
B) $\frac { 1 } { 4 }$
C) $\frac { 3 } { 4 }$
D) $2$
E) $1$

Correct Answer:

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