Question: Recall Result 1.13 in the lecture notes, which states that the best circulant approximant C,, to R,, has eigenvalues given by the formula ( F,(c)

Recall Result 1.13 in the lecture notes, which states that the best circulant approximant C,, to R,, has eigenvalues given by the formula ( F,(c) is the so-called Fejer kernel): A(k) = 2n f(=)F,(=-2xk)de ~ 2nf(2nk), k = 0,1,2, ...,n-1. Use this observation to show that as n + co: - In Run In (2n f (2x=) )d=

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