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Power Seriesmedium
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Evaluate ∑n=1∞(−1)n+1n⋅2n\sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{n \cdot 2^n}∑n=1∞​n⋅2n(−1)n+1​ by recognizing it as a power series evaluated at a specific point.