The sum \[1+\frac{1+a}{2!}+\frac{1+a+{{a}^{2}}}{3!}+.....\infty \] is equal to

The sum \[1+\frac{1+a}{2!}+\frac{1+a+{{a}^{2}}}{3!}+.....\infty \] is

1.	The sum \[1+\frac{1+a}{2!}+\frac{1+a+{{a}^{2}}}{3!}+.....\infty \] is equal to
A.	\[{{e}^{a}}\]
B.	\[\frac{{{e}^{a}}-e}{a-1}\]
C.	\[(a-1){{e}^{a}}\]
D.	\[(a+1){{e}^{a}}\]
Answer» C. \[(a-1){{e}^{a}}\]

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The sum \[1+\frac{1+a}{2!}+\frac{1+a+{{a}^{2}}}{3!}+.....\infty \] is equal to

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