The coefficient of \( \frac{1}{x} \) in the expansion of
\( (1+x)^{n}\left(1+\frac{1}{x}\right)^....
The coefficient of \( \frac{1}{x} \) in the expansion of
\( \mathrm{P} \)
\( (1+x)^{n}\left(1+\frac{1}{x}\right)^{n} \) is
(1) \( \frac{n !}{(n-1) !(n+1) !} \)
(2) \( \frac{(2 n) !}{(n-1) !(n+1) !} \)
(3) \( \frac{(2 n) !}{(2 n-1) !(2 n+1) !} \)
(4) None of these
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