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Please answer #10 and #15 only Find the center and the radius of convergence. η (−1) (2η)! 6. Σ 4(z + 1)" n=0 ∞ 10. Σ n=0 8. Σ (z – πί)" n! n=0 12. Σ n=0 14. Σ n=0 n 16. Σ n=0 η (z - 2i)n n η (−1)"n gn (-1)" 22n(n!)2 + 2η (3η)! zn 2(n!)3 9. Σ n=0 11. 7. Σ n=0 Σ( n=0 15. Σ n(n − 1) 3η n=0 17. Σ n=1 2- i 1 + 5i 4n 13. Σ 16"(z + i)tn n=0 (z – i)2η η 2n n(n + 1) (2η)! 4" (n!)² (z − 2i)n _2n+1 Z Z TT 2η

Please answer #10 and #15 only Find the center and the radius of convergence. η (−1) (2η)! 6. Σ 4(z + 1)" n=0 ∞ 10. Σ n=0 8. Σ (z – πί)" n! n=0 12. Σ n=0 14. Σ n=0 n 16. Σ n=0 η (z - 2i)n n η (−1)"n gn (-1)" 22n(n!)2 + 2η (3η)! zn 2(n!)3 9. Σ n=0 11. 7. Σ n=0 Σ( n=0 15. Σ n(n − 1) 3η n=0 17. Σ n=1 2- i 1 + 5i 4n 13. Σ 16"(z + i)tn n=0 (z – i)2η η 2n n(n + 1) (2η)! 4" (n!)² (z − 2i)n _2n+1 Z Z TT 2η

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please answer #10 and #15 only Find the center and the radius of convergence. η (−1) (2η)! 6. Σ 4(z + 1)" Σ n=0 ∞ 10. Σ n=0 8. Σ (z – πί)" n! n=0 12. Σ n=0 14. Σ n=0 16. Σ n=0 n η (z - 2i)n 2. n η (−1)"n gn 1 5. 2+z4 7. cos2 ez 4. Σ n=0 (-1)" 22n(n!)2 + (3η)! 2¹ (n!)³ 2 η 2η των - 1² 2 εκα(4*) ar Γ 9. exp dt 2 Σ(3) 3. Στη 1 (z + i)2n n=0 η η 3(1 – i)" n! n 5. Σ (") (4₂ n=2 9. Σ n=0 11. (4z + 2i)n 7. Σ n=0 15. Σ Σ( n=0 (z – i) n(n − 1) 3η n=0 17. Σ n=1 4n 13. Σ 16"(z + i)tn n=0 Please answer #9 only Find the Maclaurin series and its radius of convergence. 3. sin 2,2 z + 2 2- i 1 + 5i 2n n(n + 1) (2η)! 4" (n!) ² (z - 2i)n 4. (z – i)2η 6. η 1 _2n+1 Z Please answer #5 only Where does the power series converge uniformly? Give reason. 2 Z 1 1 + 3iz TT 8. sin2 = 10. exp (23)| exp (−12) dt 2η
Transcribed Image Text:Please answer #10 and #15 only Find the center and the radius of convergence. η (−1) (2η)! 6. Σ 4(z + 1)" Σ n=0 ∞ 10. Σ n=0 8. Σ (z – πί)" n! n=0 12. Σ n=0 14. Σ n=0 16. Σ n=0 n η (z - 2i)n 2. n η (−1)"n gn 1 5. 2+z4 7. cos2 ez 4. Σ n=0 (-1)" 22n(n!)2 + (3η)! 2¹ (n!)³ 2 η 2η των - 1² 2 εκα(4*) ar Γ 9. exp dt 2 Σ(3) 3. Στη 1 (z + i)2n n=0 η η 3(1 – i)" n! n 5. Σ (") (4₂ n=2 9. Σ n=0 11. (4z + 2i)n 7. Σ n=0 15. Σ Σ( n=0 (z – i) n(n − 1) 3η n=0 17. Σ n=1 4n 13. Σ 16"(z + i)tn n=0 Please answer #9 only Find the Maclaurin series and its radius of convergence. 3. sin 2,2 z + 2 2- i 1 + 5i 2n n(n + 1) (2η)! 4" (n!) ² (z - 2i)n 4. (z – i)2η 6. η 1 _2n+1 Z Please answer #5 only Where does the power series converge uniformly? Give reason. 2 Z 1 1 + 3iz TT 8. sin2 = 10. exp (23)| exp (−12) dt 2η
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