#2015_23 Riemann is hiding?

Calculus Level 3

If

f(n)=1n{(2n+1)(2n+2)(2n+n)}1/n,f\left( n \right) =\frac { 1 }{ n } { \big\{ (2n+1)(2n+2)\ldots(2n+n) \big\} }^{ 1/n },

then what is limnf(n)?\displaystyle \lim _{ n\rightarrow \infty }{ f\left( n \right) }?


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