In the expansion of \[\frac{1+x}{1\,!}+\frac{{{(1+x)}^{2}}}{2\,!}+ – McqOptions

MCQOPTIONS

1.	In the expansion of \[\frac{1+x}{1\,!}+\frac{{{(1+x)}^{2}}}{2\,!}+\frac{{{(1+x)}^{3}}}{3\,!}+.....,\] the coefficient of \[{{x}^{n}}\] will be
A.	\[\frac{1}{n\,!}\]
B.	\[\frac{1}{n\,!}+\frac{1}{(n+1)\,!}\]
C.	\[\frac{e}{n\,!}\]
D.	\[e\,\left[ \frac{1}{n\,!}+\frac{1}{(n+1)\,!} \right]\]
Answer» D. \[e\,\left[ \frac{1}{n\,!}+\frac{1}{(n+1)\,!} \right]\]

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