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Calculus Level 3

\[x_{n}=\left(1-\frac{1}{3}\right)^2 \left(1-\frac{1}{6}\right)^2 \left(1-\frac{1}{10}\right)^2 ... \left(1-\frac{1}{\frac{n(n+1)}{2}}\right)^2, n\geq 2\]

Find \(\displaystyle \lim_{n \to \infty} x_{n}\).

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