The value of \[\sum\limits_{n=1}^{\infty }{\frac{^{n}{{C}_{0}}+...{{+}^{n}}{{C}_{n}}}{^{n}{{P}_{n}}}}\] is [Kerala (Engg.) 2005]

The value of \[\sum\limits_{n=1}^{\infty }{\frac{^{n}{{C}_{0}}+...{{+}

1.	The value of \[\sum\limits_{n=1}^{\infty }{\frac{^{n}{{C}_{0}}+...{{+}^{n}}{{C}_{n}}}{^{n}{{P}_{n}}}}\] is [Kerala (Engg.) 2005]
A.	\[{{e}^{2}}\]
B.	e
C.	\[{{e}^{2}}-1\]
D.	\[e-1\]
E.	\[{{e}^{2}}+1\]
Answer» D. \[e-1\]

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The value of \[\sum\limits_{n=1}^{\infty }{\frac{^{n}{{C}_{0}}+...{{+}^{n}}{{C}_{n}}}{^{n}{{P}_{n}}}}\] is [Kerala (Engg.) 2005]

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