The function f(x) = cos(2πx) for x ∈ [0,1] is approximated by a a polynomial pn interpolating f at n + 1 points xi. How should n be chosen so that the error max 0≤x≤1|f(x)−pn(x)|≤ 10−8 (i) if the points xi are equally spaced? (ii) if the points xi are Chebyshev points? REMEMBER to compute the values of n.