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Calculus Level 2

For natural number, denote \(P_n = \displaystyle\prod_{r=1}^n \dfrac{6r^2+r-1}{6r^2+7r-5}\)

What is the value of \( \displaystyle \lim_{n \to \infty} \frac {9}{10} (n+1) P_n \)?

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