# How are these related?

**Algebra**Level 5

\[\displaystyle \lim _{ n\rightarrow \infty }{ \sqrt [ n ]{\binom{2n}{n-1} \binom{2n}{n} \binom{2n}{n+1} } } \]

Determine the limit above.

As a challenge, do it without calculus.

\[\displaystyle \lim _{ n\rightarrow \infty }{ \sqrt [ n ]{\binom{2n}{n-1} \binom{2n}{n} \binom{2n}{n+1} } } \]

Determine the limit above.

As a challenge, do it without calculus.

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