\[\frac{1}{1!(n-1)\,!}+\frac{1}{3!(n-3)!}+\frac{1}{5!(n-5)!}+....=\] [AMU 2005]

\[\frac{{{2}^{n}}}{n!}\]; for all even values of n

\[\frac{{{2}^{n-1}}}{n!}\]; for all values of n i.e., all even odd values

\[\frac{1}{1!(n-1)\,!}+\frac{1}{3!(n-3)!}+\frac{1}{5!(n-5)!}+....=\] �

1.	\[\frac{1}{1!(n-1)\,!}+\frac{1}{3!(n-3)!}+\frac{1}{5!(n-5)!}+....=\] [AMU 2005]
A.	\[\frac{{{2}^{n}}}{n!}\]; for all even values of n
B.	\[\frac{{{2}^{n-1}}}{n!}\]; for all values of n i.e., all even odd values
C.	0
D.	None of these
Answer» C. 0

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\[\frac{1}{1!(n-1)\,!}+\frac{1}{3!(n-3)!}+\frac{1}{5!(n-5)!}+....=\] [AMU 2005]

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