limits

1 Answers

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

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

using the first principle?
log S=\int_{0}^{1}{log(1+x)dx}

Now can you solve it ??

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