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5 Use the "known Taylor series" (Table 10.1) to determine the sum of the series 27 23 25 33.3 35.5 37.7 2/3 - + - +

5 Use the "known Taylor series" (Table 10.1) to determine the sum of the series 27 23 25 33.3 35.5 37.7 2/3 - + - +

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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For the next three exercises, use series to evaluate the limit. arctan y - sin y y³ cos y 4 Determine a polynomial that will approximate 1 lim 3-0 2 lim h→0 (sinh)/h—cosh h² F(x) = a arctant dt throughout the interval [0, 0.5] with an error of magnitude less than 10-³. 5 Use the "known Taylor series" (Table 10.1) to determine the sum of the series - 2 23 25 27 + 33.3 35.5 37.7 3 3 - lim (x + 1) sin ¹ (2+1) 818
Transcribed Image Text:For the next three exercises, use series to evaluate the limit. arctan y - sin y y³ cos y 4 Determine a polynomial that will approximate 1 lim 3-0 2 lim h→0 (sinh)/h—cosh h² F(x) = a arctant dt throughout the interval [0, 0.5] with an error of magnitude less than 10-³. 5 Use the "known Taylor series" (Table 10.1) to determine the sum of the series - 2 23 25 27 + 33.3 35.5 37.7 3 3 - lim (x + 1) sin ¹ (2+1) 818
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