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What is the interval of convergence for the power series below; that is, for what values of xxx does the series converge?
∑n=0∞(−1)nn(x+3)n4n \sum_{n=0}^{\infty} \frac{(-1)^nn(x+3)^n}{4^n} n=0∑∞4n(−1)nn(x+3)n
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