The coefficient of \[{{x}^{r}}\] in the expansion of \[{{e}^{{{e}^{x}}}}\] is

\[\frac{{{1}^{r}}}{1\,!}+\frac{{{2}^{r}}}{2\,!}+\frac{{{3}^{r}}}{3\,!}+.....\]

\[1+\frac{1}{1\,!}+\frac{1}{2\,!}+....+\frac{1}{r\,!}\]

\[\frac{1}{r\,!}\left[ \frac{{{1}^{r}}}{1\,!}+\frac{{{2}^{r}}}{2\,!}+\frac{{{3}^{r}}}{3\,!}+.... \right]\]

The coefficient of \[{{x}^{r}}\] in the expansion of \[{{e}^{{{e}^{x}}

1.	The coefficient of \[{{x}^{r}}\] in the expansion of \[{{e}^{{{e}^{x}}}}\] is
A.	\[\frac{{{1}^{r}}}{1\,!}+\frac{{{2}^{r}}}{2\,!}+\frac{{{3}^{r}}}{3\,!}+.....\]
B.	\[1+\frac{1}{1\,!}+\frac{1}{2\,!}+....+\frac{1}{r\,!}\]
C.	\[\frac{1}{r\,!}\left[ \frac{{{1}^{r}}}{1\,!}+\frac{{{2}^{r}}}{2\,!}+\frac{{{3}^{r}}}{3\,!}+.... \right]\]
D.	\[\frac{{{e}^{r}}}{r!}\]
Answer» D. \[\frac{{{e}^{r}}}{r!}\]

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The coefficient of \[{{x}^{r}}\] in the expansion of \[{{e}^{{{e}^{x}}}}\] is

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