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Consider the function arctan(x/15). Write a partial sum for the power series which represents this function consisting of the first 5 nonzero terms. For example, if the series were 32n, you would write 1 + 3x² + 3²x²¹ +3³x° +3¹x³. Also indicate the radius of convergence. Partial Sum: 0- 13x+3x²-3x³+x² Radius of Convergence: 15 Zn0

Consider the function arctan(x/15). Write a partial sum for the power series which represents this function consisting of the first 5 nonzero terms. For example, if the series were 32n, you would write 1 + 3x² + 3²x²¹ +3³x° +3¹x³. Also indicate the radius of convergence. Partial Sum: 0- 13x+3x²-3x³+x² Radius of Convergence: 15 Zn0

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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Consider the function arctan(x/15). Write a partial sum for the power series which represents this function consisting of the first nonzero terms. For example, if the series were 32, you would write 1 + 3x² + 3²x¹ +3³xº +3¹x8. Also indicate the radius of convergence. Partial Sum: 0-15x+3x² − 1/35 x³ + 13x² Radius of Convergence: 15 -0
Transcribed Image Text:Consider the function arctan(x/15). Write a partial sum for the power series which represents this function consisting of the first nonzero terms. For example, if the series were 32, you would write 1 + 3x² + 3²x¹ +3³xº +3¹x8. Also indicate the radius of convergence. Partial Sum: 0-15x+3x² − 1/35 x³ + 13x² Radius of Convergence: 15 -0
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