In Questions fiNd a Closed Form for the Generating Function $$1 , - 1 , \frac { 1 } { 2 ! } , - \frac { 1 } { 3 ! } , \frac { 1 } { 4 ! } , - \frac { 1 } { 5 ! } , \ldots$$

Short Answer

In questions find a closed form for the generating function for the sequence.
- $$1 , - 1 , \frac { 1 } { 2 ! } , - \frac { 1 } { 3 ! } , \frac { 1 } { 4 ! } , - \frac { 1 } { 5 ! } , \ldots$$