Calculus limit defined integral

Calculus Level 2

\[ \lim_{n\to \infty} \left [ \left( \pi r \prod_{r=1}^n \left( 1 - \dfrac{r^2}{n^2} \right)\right) \right ]+ \lim_{n\to \infty} \left [ \left( \pi r \prod_{r=1}^n \left( 1 +\dfrac{r}{n} \right)\right) \right ] \]

For \(r\) being a set of all natural numbers, evaluate the expression above.

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