the coefficient of 1/x in the expansion of (1+X)^n (1+1/x)^n is
1• n!/{(n-1)!(n+1)!}
2•(2n)!/{(n-1)!(n+1)!}
3•n!/{(2n-1)!(2n+1)!}
4•(2n)!/{(2n-1)!(2n+1)!}
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