limits another one

1 Answers

S=\lim_{n\rightarrow \infty}\left\{\prod_{r=1}^{n}\tan{\left(\frac{r\pi}{n} \right)} \right\}^{1/n}

log S=\lim_{n\rightarrow \infty}1/n\left\{\sum_{r=1}^{n}\log\tan{\left(\frac{r\pi}{n} \right)} \right\}

log S=\int_{0}^{1}{\log\tan(x\pi)}

nwow can you solve it?

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