Limit Driller #1

Calculus Level 3

\[ \lim_{n\to\infty}\left[ \tan \left( \frac\pi {2n} \right)\tan \left( \frac{2\pi} {2n} \right)\tan \left( \frac{3\pi} {2n} \right)\ldots \tan \left( \frac{n\pi} {2n} \right) \right ]^{\frac1n} = \ ? \]

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