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Radius of Convergence The distance between the center of a power series' interval of convergence and its endpoints. If the series only converges at a single point, the radius of convergence is 0. If the series converges over all real numbers, the radius of convergence is ∞.
See also Convergence tests, power series convergence, Taylor series, Maclaurin series, infinity
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15-jul-23
Mathwords: Terms and Formulas from Algebra I to Calculus written, illustrated, and webmastered by Bruce Simmons Copyright © 2000 by Bruce Simmons All rights reserved |