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40, 41, 42, and 43 Find the radius of convergence and interval of convergence of the series. 40(-1)" n=1 n²5n 47, 48, 49, 50, 51, 52, 53, and 54 Find the Maclaurin series for ƒ and the associated radius of convergence. You may use either the direct method (definition of a Maclaurin series) or the Maclaurin series listed in Table 11.10.1. 47. (x) 1+z

40, 41, 42, and 43 Find the radius of convergence and interval of convergence of the series. 40(-1)" n=1 n²5n 47, 48, 49, 50, 51, 52, 53, and 54 Find the Maclaurin series for ƒ and the associated radius of convergence. You may use either the direct method (definition of a Maclaurin series) or the Maclaurin series listed in Table 11.10.1. 47. (x) 1+z

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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40, 41, 42, and 43 Find the radius of convergence and interval of convergence of the series. ∞ 40 (-1)" n=1 47. 2 n²5n 47, 48, 49, 50, 51, 52, 53, and 54 Find the Maclaurin series for ƒ and the associated radius of convergence. You may use either the direct method (definition of a Maclaurin series) or the Maclaurin series listed in Table 11.10.1. = 1+2
Transcribed Image Text:40, 41, 42, and 43 Find the radius of convergence and interval of convergence of the series. ∞ 40 (-1)" n=1 47. 2 n²5n 47, 48, 49, 50, 51, 52, 53, and 54 Find the Maclaurin series for ƒ and the associated radius of convergence. You may use either the direct method (definition of a Maclaurin series) or the Maclaurin series listed in Table 11.10.1. = 1+2
23. 23, 24, 25, and 26 Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Σ(-1)-¹-1/3 ∞ n=1 27. 24.(-1)-¹ n=1 Answer + 26. 25. ∞ (−1)" (n+1) 3″ 22n+1 n=1 Answer n=2 -3 n n=1 (-1)" √n In n 27, 28, 29, 30, and 31 Find the sum of the series. n-1 (-3) - 23n
Transcribed Image Text:23. 23, 24, 25, and 26 Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Σ(-1)-¹-1/3 ∞ n=1 27. 24.(-1)-¹ n=1 Answer + 26. 25. ∞ (−1)" (n+1) 3″ 22n+1 n=1 Answer n=2 -3 n n=1 (-1)" √n In n 27, 28, 29, 30, and 31 Find the sum of the series. n-1 (-3) - 23n
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