121616949-math.316 - x 2 n 1 10.12.28 1 x 2 ∞ X n =2-1 n...

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302 Appendix B Selected Answers 10.12.16. converges 10.12.17. diverges 10.12.18. ( -∞ , ) 10.12.19. ( - 3 , 3) 10.12.20. ( - 3 , 3) 10.12.21. ( - 1 , 1) 10.12.22. radius is 0—it converges only when x = 0 10.12.23. ( - 3 , 3) 10.12.24. ( -∞ , ) 10.12.25. X n =0 (ln(2)) n n ! x n 10.12.26. X n =0 ( - 1) n n + 1 x n +1 10.12.27. X n =0
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Unformatted text preview: x 2 n +1 10.12.28. 1 + x/ 2 + ∞ X n =2 (-1) n +1 1 · 3 · 5 ··· (2 n-3) 2 n n ! x n 10.12.29. ∞ X n =0 (-1) n x 2 n 10.12.30. ∞ X n =0 (-1) n 2 n + 1 x 2 n +1 10.12.31. π = ∞ X n =0 (-1) n 4 2 n + 1...
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