Determine If the Series Converges or Diverges $$\sum _ { n = 1 } ^ { \infty } \frac { 2 } { n ( n + 1 ) ( n + 2 ) }$$

Multiple Choice

Determine if the series converges or diverges. If the series converges, find its sum.
- $$\sum _ { n = 1 } ^ { \infty } \frac { 2 } { n ( n + 1 ) ( n + 2 ) }$$

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