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6. Prove that every p E P, has a unique representation of the form: p(x)=a_{0}+a_{1} T_{1}(x)+\cdots+a_{n} T_{n}(x) where T;, for j = 1, ... ,n are the Chebyshev polynomials of
degree j.
Fig: 1
Fig: 2
Fig: 3
degree j.
Fig: 1
Fig: 2
Fig: 3
