Determine whether the series $\sum _ { n = 1 } ^ { \infty } \frac { n ^ { 2 } } { 3 ( n + 1 ) ( n + 2 ) }$ is convergent or divergent. If it is convergent, find its sum.

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The Answer of Determine whether the series $\sum _ { n = 1 } ^ { \infty } \frac { n ^ { 2 } } { 3 ( n + 1 ) ( n + 2 ) }$ is convergent or divergent. If it is convergent, find its sum.

Determine Whether the Series ∑n=1∞n23(n+1)(n+2)\sum _ { n = 1 } ^ { \infty } \frac { n ^ { 2 } } { 3 ( n + 1 ) ( n + 2 ) }∑n=1∞​3(n+1)(n+2)n2​

Determine Whether the Series $\sum _ { n = 1 } ^ { \infty } \frac { n ^ { 2 } } { 3 ( n + 1 ) ( n + 2 ) }$