1.

If  \[n\] is even, then in the expansion of  \[{{\left( 1+\frac{{{x}^{2}}}{2\,!}+\frac{{{x}^{4}}}{4\,!}+...... \right)}^{2}}\], the coefficient of \[{{x}^{n}}\] is

A. \[\frac{{{2}^{n}}}{n\,!}\]
B. \[\frac{{{2}^{n}}-2}{n\,\,!}\]
C. \[\frac{{{2}^{n-1}}-1}{n\,!}\]
D. \[\frac{{{2}^{n-1}}}{n\,!}\]
Answer» E.


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