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The sum S(n) where T(n) = (-1)^(n) (n^(...

The sum `S_(n)` where `T_(n) = (-1)^(n) (n^(2) + n +1)/( n!) ` is

A

`((-1)^(n))/(n-1!)-((-1)^(n))/(n+1)!)`

B

`[((-1)^(n))/(n!) - ((-1)^(n))/(n-1!)]-1`

C

`[((-1)^(n +1))/(n+1!) - ((-1)^(n-1))/((n-1)!)]`

D

`[((-1)^(n))/(n!) -((-1)^(n-1))/(( n-1)!)] -1`

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