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Unformatted text preview: x = a ± R must be checked with some other test. 1 Important Limits 1. lim n →∞ (1 + 1 n ) n = e 2. lim n →∞ n √ n = 1 2 11.8.16 Find the radius of convergence and interval of convergence of the series. ∞ X n =1 (1) n x 2 n1 (2 n1)! 3 11.8.20 Find the radius of convergence and interval of convergence of the series. ∞ X n =1 (3 x2) n n 3 n 4...
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 Spring '08
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 Calculus, Power Series, Mathematical Series, Convergence, Radius of convergence, power series cn

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