Sunday, 12 February 2017

sequences and series - limit of $left(1+frac{1}{n^{2}} right)left(1+frac{2}{n^{2}} right)...left(1+frac{n}{n^{2}} right)$

I want to find the limit of $\left(1+\frac{1}{n^{2}} \right)\left(1+\frac{2}{n^{2}} \right)...\left(1+\frac{n}{n^{2}} \right)$ as $n \rightarrow \infty$, any hint?

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