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Power Serieshard
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The power series ∑n=1∞(−1)n−1xnn\sum_{n=1}^{\infty} \frac{(-1)^{n-1} x^n}{n}∑n=1∞​n(−1)n−1xn​ is the Maclaurin series for ln⁡(1+x)\ln(1+x)ln(1+x). At x=1x = 1x=1, the series converges by which test, and to what value?