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Power Serieseasy
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The power series ∑n=1∞(−1)n+1(x−3)nn2\sum_{n=1}^{\infty} \frac{(-1)^{n+1}(x-3)^n}{n^2}∑n=1∞​n2(−1)n+1(x−3)n​ has radius of convergence R=1R = 1R=1. At the left endpoint x=2x = 2x=2, determine whether the series converges absolutely or conditionally.