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PROBLEM 1 (4 Pts): The Function F(x) = Cos(2x) For X € (0.1) Is Approximated By A A Polynomial Pn

PROBLEM 1 (4 pts): The function f(x) = cos(2x) for x € (0.1) is approximated by a a polynomial Pn interpolating f at n +1 points . How should n be chosen so that the error max f(a) - P(x) < 10-8 (i) if the points x, are equally spaced? (ii) if the points rare Chebyshev points? REMEMBER to compute the values of n.