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Find the power series interval of convergence?

Match each of the power series with its interval of convergence. sum_{n=1}^infty {(x-5)^n}/{(n!)5^n}sum_{n=1}^infty {n!( 5 x-5)^n}/{5^n} sum_{n=1}^infty {(5 x)^n}/{n^{5}}sum_{n=1}^infty {(x - 5)^n}/{(5)^n}A. {5/5} B. [-1/5, 1/5] C. (–infinity, infinity) D. (0, 10)

1 Answers

You can determine the interval by performing the ratio test on convergence of the series. By this method i get: 1 → C2 → A 3 → B4 → DSteps:... Show More

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