Let \( S_{n}=1+2+3+\ldots+n \) and \( P_{n}=\prod_{r=2}^{n} \frac{S_{r}}{S_{r}-1} \), where \( n...

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Let \( S_{n}=1+2+3+\ldots+n \) and \( P_{n}=\prod_{r=2}^{n} \frac{S_{r}}{S_{r}-1} \), where \( n \in N(n \geq 2) \). Find \( \lim _{n \rightarrow \infty} P_{n} \).
(a) 3
(b) 4
(c) 9
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