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What does the following sequence converge to? \begin{equation} 1, \frac{1}{2}, \frac{\frac{1}{2}}{\frac{3}{4}}, \frac{\frac{\frac{1}{2}}{\frac{3}{4}}}{\frac{\frac{5}{6}}{\frac{7}{8}}}, \ldots \rightarrow ? \end{equation}

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