Question: (a) The first few Chebyshev polynomials are To = 1 T1 = I T2 = 2.12 - 1 T3(x) = 413 + 3.x TA(x) =

(a) The first few Chebyshev polynomials are To = 1 T1

(a) The first few Chebyshev polynomials are To = 1 T1 = I T2 = 2.12 - 1 T3(x) = 413 + 3.x TA(x) = 84 - 812 + 1. (i) What is the purpose of economizing a power series? (ii) Find the Chebyshev series for the function p(a) with the Maclaurin series p(I) = 1- 8 (iii) Find an estimate for the error made if the Chebyshev series for p(x) is truncated to include terms up to T3. (7)

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