In the expansion of \[\frac{a+bx+c{{x}^{2}}}{{{e}^{x}}}\], the coe – McqOptions

MCQOPTIONS

1.	In the expansion of \[\frac{a+bx+c{{x}^{2}}}{{{e}^{x}}}\], the coefficient of \[{{x}^{n}}\] will be
A.	\[\frac{a\,{{(-1)}^{n}}}{n\,!}+\frac{b{{(-1)}^{n-1}}}{(n-1)\,!}+\frac{c{{(-1)}^{n-2}}}{(n-2)\,!}\]
B.	\[\frac{a}{n\,!}+\frac{b}{(n-1)\,!}+\frac{c}{(n-2)\,!}\]
C.	\[\frac{\,{{(-1)}^{n}}}{n\,!}+\frac{{{(-1)}^{n-1}}}{(n-1)\,!}+\frac{{{(-1)}^{n-2}}}{(n-2)\,!}\]
D.	None of these
Answer» B. \[\frac{a}{n\,!}+\frac{b}{(n-1)\,!}+\frac{c}{(n-2)\,!}\]

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