Find the radius of convergence, R, of the series. ∞ (−1)n (x - 7)n (4n + 1) n = 0 R = Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I =
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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 this case, we have: $$\lim_{n Show more…
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