Find the Value of the Infinite Product$e^{1 / 8} \cdot e^{1 / 16} \cdot e^{1 / 32} \cdot e^{1 / 64} \cdot \ldots \cdot e^{1 / 2^{n+2}}$

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Find the Value of the Infinite Product $e^{1 / 8} \cdot e^{1 / 16} \cdot e^{1 / 32} \cdot e^{1 / 64} \cdot \ldots \cdot e^{1 / 2^{n+2}}$