\[\frac{1+\frac{{{2}^{2}}}{2\,!}+\frac{{{2}^{4}}}{3\,!}+\frac{{{2}^{6}}}{4\,!}+.....\infty }{1+\frac{1}{2\,!}+\frac{2}{3\,!}+\frac{{{2}^{2}}}{4\,!}+....\infty }=\]

\[\frac{1+\frac{{{2}^{2}}}{2\,!}+\frac{{{2}^{4}}}{3\,!}+\frac{{{2}^{6}

1.	\[\frac{1+\frac{{{2}^{2}}}{2\,!}+\frac{{{2}^{4}}}{3\,!}+\frac{{{2}^{6}}}{4\,!}+.....\infty }{1+\frac{1}{2\,!}+\frac{2}{3\,!}+\frac{{{2}^{2}}}{4\,!}+....\infty }=\]
A.	\[{{e}^{2}}\]
B.	\[{{e}^{2}}-1\]
C.	\[{{e}^{3/2}}\]
D.	None of these
Answer» C. \[{{e}^{3/2}}\]

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\[\frac{1+\frac{{{2}^{2}}}{2\,!}+\frac{{{2}^{4}}}{3\,!}+\frac{{{2}^{6}}}{4\,!}+.....\infty }{1+\frac{1}{2\,!}+\frac{2}{3\,!}+\frac{{{2}^{2}}}{4\,!}+....\infty }=\]

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