Sum of the infinite series \[1+2+\frac{1}{2!}+\frac{2}{3!}+\frac{1}{4!}+\frac{2}{5!}+.....\] is [Roorkee 2000]

Sum of the infinite series \[1+2+\frac{1}{2!}+\frac{2}{3!}+\frac{1}{4!

1.	Sum of the infinite series \[1+2+\frac{1}{2!}+\frac{2}{3!}+\frac{1}{4!}+\frac{2}{5!}+.....\] is [Roorkee 2000]
A.	\[{{e}^{2}}\]
B.	\[e+{{e}^{-1}}\]
C.	\[\frac{e-{{e}^{-1}}}{2}\]
D.	\[\frac{3e-{{e}^{-1}}}{2}\]
Answer» E.

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Sum of the infinite series \[1+2+\frac{1}{2!}+\frac{2}{3!}+\frac{1}{4!}+\frac{2}{5!}+.....\] is [Roorkee 2000]

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