Question 2 (a) Chebychev polynomials are defined on the interval [-1,1]. They are orthogonal with respect to inner product (p.q) = [", p(x)q(x)(1 – x²)-l² dx -1/2 The recursion relation for Chebychev polynomials is given by Tn+1 (x) = 2xT,(x) – Tr-1 (x) %3D given that: To(x) = 1, T¡(x) = (i) Find the linear least-square approximation to f(x) = e2*. = x. %3D

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