Find the value of

\(\beta\) = \(\displaystyle\lim_{n\rightarrow \infty} \displaystyle \prod _{ r=1 }^{ n }{ { \left( 1+\dfrac { r }{ n } \right) }^{ \dfrac { 1 }{ r } } } \)

up to 3 decimal places.

**Note:** \(\prod _{}^{ }\) indicates the Product Series.

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