If \[x\ne 0\], then the sum of the series\[1+\frac{x}{2!}+\frac{2{{x}^{2}}}{3!}+\frac{3{{x}^{3}}}{4!}+.......\infty \] is

\[\frac{{{e}^{x}}\,(x-1)+1}{x}\]

\[\frac{{{e}^{x}}\,(x-1)+1+x}{x}\]

If \[x\ne 0\], then the sum of the series\[1+\frac{x}{2!}+\frac{2{{x}^

1.	If \[x\ne 0\], then the sum of the series\[1+\frac{x}{2!}+\frac{2{{x}^{2}}}{3!}+\frac{3{{x}^{3}}}{4!}+.......\infty \] is
A.	\[\frac{{{e}^{x}}+1}{x}\]
B.	\[\frac{{{e}^{x}}\,(x-1)}{x}\]
C.	\[\frac{{{e}^{x}}\,(x-1)+1}{x}\]
D.	\[\frac{{{e}^{x}}\,(x-1)+1+x}{x}\]
Answer» E.

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If \[x\ne 0\], then the sum of the series\[1+\frac{x}{2!}+\frac{2{{x}^{2}}}{3!}+\frac{3{{x}^{3}}}{4!}+.......\infty \] is

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