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Power Serieshard
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Consider the power series f(x)=∑n=1∞(−1)nnxnf(x) = \sum_{n=1}^{\infty} \frac{(-1)^n}{n} x^nf(x)=∑n=1∞​n(−1)n​xn. What can be said about convergence at the boundary points x=1x = 1x=1 and x=−1x = -1x=−1?