\[1+\frac{1+x}{2\,!}+\frac{1+x+{{x}^{2}}}{3\,!}+\frac{1+x+{{x}^{2}}+{{x}^{3}}}{4\,!}+.....\infty =\]

\[1+\frac{1+x}{2\,!}+\frac{1+x+{{x}^{2}}}{3\,!}+\frac{1+x+{{x}^{2}}+{{

1.	\[1+\frac{1+x}{2\,!}+\frac{1+x+{{x}^{2}}}{3\,!}+\frac{1+x+{{x}^{2}}+{{x}^{3}}}{4\,!}+.....\infty =\]
A.	\[\frac{{{e}^{x}}+1}{x+1}\]
B.	\[\frac{{{e}^{x}}+1}{x-1}\]
C.	\[\frac{{{e}^{x}}-e}{x+1}\]
D.	\[\frac{{{e}^{x}}-e}{x-1}\]
Answer» E.

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\[1+\frac{1+x}{2\,!}+\frac{1+x+{{x}^{2}}}{3\,!}+\frac{1+x+{{x}^{2}}+{{x}^{3}}}{4\,!}+.....\infty =\]

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