(b) Given the power seriesf(x)=1-x-2x³ - 4x4To(x) =1T₁(x) =XT₂(x)2x²1=T3(x)4x³ - 3x=T4(x) =8x4 _ 8x2 + 1,and the Chebyshev polynomialseconomize the power series f(x) twice.

Given that The power series fx=1-x-2x3-4x4 1 and Chebyshev polynomials T0x=1…

Answered: (b) Given the power series f(x)=1-x-2x³…

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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(b) Given the power series f(x)=1-x-2x³ - 4x4 To(x) = 1 T₁(x) = x T₂(x) = 2x² - 1 T3(x) 4x²-3x = T₁(x) 8x48x²+1, = and the Chebyshev polynomials economize the power series f(x) twice.