Radius of Convergence. In each of Problems 1 through 8, determine the radius of convergence of the given power series: 1. ?_{n=0}^{?} (x - 3)^n 2. ?_{n=0}^{?} frac{n}{2^n} x^n
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We can use the Ratio Test to determine the radius of convergence. The Ratio Test states that if the limit as n approaches infinity of the absolute value of the ratio of consecutive terms is less than 1, then the series converges. In other words: $$\lim_{n \to Show more…
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