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Power Serieshard
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Consider the power series ∑n=0∞cn(x−2)n\sum_{n=0}^{\infty} c_n(x-2)^n∑n=0∞​cn​(x−2)n where cn=(−1)n⋅n!3nc_n = \frac{(-1)^n \cdot n!}{3^n}cn​=3n(−1)n⋅n!​. Using the ratio test, what is the radius of convergence RRR?