1. Let f: R+R be a smooth function so that are young f is bounded for n = 0, 1, 2, 3 and consider the ODE i = f(2) x(0) = 10. Let x be the approximation to r(At) obtained from the improved Euler method. Using Taylor's Theorem, show that the local truncation error ej = x(At) - - 11 satisfies leil 0. 1. Let f: R+R be a smooth function so that are young f is bounded for n = 0, 1, 2, 3 and consider the ODE i = f(2) x(0) = 10. Let x be the approximation to r(At) obtained from the improved Euler method. Using Taylor's Theorem, show that the local truncation error ej = x(At) - - 11 satisfies leil 0