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1. Using one of the existing series in Table 11.5, obtain a Maclaurin series for f(x) 2. What is the connection between f(x): 1 1+x² and arctan(x)? = 3. Use the existing series from our list for arctan(x) to get a MacLaurin series for f(x) Do your two series agree? 1 1 + x² = 1 1+x²

1. Using one of the existing series in Table 11.5, obtain a Maclaurin series for f(x) 2. What is the connection between f(x): 1 1+x² and arctan(x)? = 3. Use the existing series from our list for arctan(x) to get a MacLaurin series for f(x) Do your two series agree? 1 1 + x² = 1 1+x²

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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1. Using one of the existing series in Table 11.5, obtain a Maclaurin series for f(x) 2. What is the connection between f(x): = 1 1+x² and arctan(x)? = 3. Use the existing series from our list for arctan(x) to get a MacLaurin series for f(x) Do your two series agree? 1 1+x² = 1 1+x²
Transcribed Image Text:1. Using one of the existing series in Table 11.5, obtain a Maclaurin series for f(x) 2. What is the connection between f(x): = 1 1+x² and arctan(x)? = 3. Use the existing series from our list for arctan(x) to get a MacLaurin series for f(x) Do your two series agree? 1 1+x² = 1 1+x²
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