Find the center and the radius of convergence. (-1) (2)! 4(z + 1) n=0 M...
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Find the center and the radius of convergence. (-1)" (2η)! Σ 4"(z + 1) n=0 ¡M³ ¡M³ ¡M³ IMS IMB η Σ (2 πί) n! n ( n 2i)n η (−1)"n 8η τη (-1)^ 2η 22n(n!)2 + (3η)! 2^(n!)3 z" m η Σ n=0 Σ n=0 ∞ Σ n=0 ∞ Σ n=0 ∞ Σ n=1 n(n − 1) 3η 2 - i 1 + 5i Σ 16"(z + i)4n n=0 2n n(n + (z – i)2η η 1) (2η)! 4" (n!) ² (z - 2i)n (επ — TT 2 2 2n+1 2η Find the Maclaurin series and its radius of convergence. sin 2z² z +2 1 2 + z COS 4 21/12 2 2 [*exp(-1²) 2 a dt 1 2 1 1 + 3iz sin² z exp (2²³) [² exp (-1²) dt Where does the power series converge uniformly? Give reason. Σ(+3) Σ (z + i)2n 1 3n n=0 n=0 n=0 ∞ Σ n=2 3 (1 n – i) - n! η (z – i) - (4z + 2i)n Find the center and the radius of convergence. (-1)" (2η)! Σ 4"(z + 1) n=0 ¡M³ ¡M³ ¡M³ IMS IMB η Σ (2 πί) n! n ( n 2i)n η (−1)"n 8η τη (-1)^ 2η 22n(n!)2 + (3η)! 2^(n!)3 z" m η Σ n=0 Σ n=0 ∞ Σ n=0 ∞ Σ n=0 ∞ Σ n=1 n(n − 1) 3η 2 - i 1 + 5i Σ 16"(z + i)4n n=0 2n n(n + (z – i)2η η 1) (2η)! 4" (n!) ² (z - 2i)n (επ — TT 2 2 2n+1 2η Find the Maclaurin series and its radius of convergence. sin 2z² z +2 1 2 + z COS 4 21/12 2 2 [*exp(-1²) 2 a dt 1 2 1 1 + 3iz sin² z exp (2²³) [² exp (-1²) dt Where does the power series converge uniformly? Give reason. Σ(+3) Σ (z + i)2n 1 3n n=0 n=0 n=0 ∞ Σ n=2 3 (1 n – i) - n! η (z – i) - (4z + 2i)n
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To find the center and radius of convergence for each of the given power series we can use the ratio test The ratio test states that if the limit of t... View the full answer
Related Book For
College Algebra Graphs and Models
ISBN: 978-0321845405
5th edition
Authors: Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna
Posted Date:
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