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Power Seriesmedium
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Find the sum of the infinite series: ∑n=1∞1⋅3⋅5⋯(2n−1)22nn!\sum_{n=1}^{\infty} \frac{1 \cdot 3 \cdot 5 \cdots (2n-1)}{2^{2n} n!}∑n=1∞​22nn!1⋅3⋅5⋯(2n−1)​