If \[{{T}_{n}}=\frac{{{3}^{n}}}{2\,(n\,!)}-\frac{1}{2\,(n\,!)},\] then \[{{S}_{\infty }}=\]

If \[{{T}_{n}}=\frac{{{3}^{n}}}{2\,(n\,!)}-\frac{1}{2\,(n\,!)},\]

1.	If \[{{T}_{n}}=\frac{{{3}^{n}}}{2\,(n\,!)}-\frac{1}{2\,(n\,!)},\] then \[{{S}_{\infty }}=\]
A.	\[\frac{{{e}^{3}}-1}{2}\]
B.	\[\frac{{{e}^{3}}-e}{2}\]
C.	\[\frac{e-3}{2}\]
D.	None of these
Answer» C. \[\frac{e-3}{2}\]

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If \[{{T}_{n}}=\frac{{{3}^{n}}}{2\,(n\,!)}-\frac{1}{2\,(n\,!)},\] then \[{{S}_{\infty }}=\]

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