Sum to infinity

\[1 - \left( \dfrac 18 \right) + \left( \dfrac 18 \cdot \dfrac{3}{16} \right) - \left( \dfrac 18 \cdot \dfrac{3}{16} \cdot \dfrac{5}{24} \right) + \left( \dfrac 18 \cdot \dfrac{3}{16} \cdot \dfrac{5}{24} \cdot \dfrac{7}{32} \right) - \cdots = \, ? \]

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