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Power Serieshard
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The generalized binomial series (1+x)α=∑n=0∞(αn)xn(1+x)^\alpha = \sum_{n=0}^{\infty} \binom{\alpha}{n} x^n(1+x)α=∑n=0∞​(nα​)xn with radius of convergence R=1R = 1R=1. At which value(s) of α\alphaα does the series converge at x=−1x = -1x=−1?