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For f(x)= 3+7x - 19x² + 2x4, find: (a) the Maclaurin series (Taylor series about x = 0). (b) the Taylor series for this function about x = 2 using complete Horner's algorithm.

For f(x)= 3+7x - 19x² + 2x4, find: (a) the Maclaurin series (Taylor series about x = 0). (b) the Taylor series for this function about x = 2 using complete Horner's algorithm.

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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5. For \( f(x) = 3 + 7x - 19x^2 + 2x^4 \), find: (a) the Maclaurin series (Taylor series about \( x = 0 \)). (b) the Taylor series for this function about \( x = 2 \) using complete Horner’s algorithm.
Transcribed Image Text:5. For \( f(x) = 3 + 7x - 19x^2 + 2x^4 \), find: (a) the Maclaurin series (Taylor series about \( x = 0 \)). (b) the Taylor series for this function about \( x = 2 \) using complete Horner’s algorithm.
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