Use Theorem 2.2 to show that g(x)=2^-x has a unique fixed point on [(1)/(3), 1]. Use fixed-point iteration to find an approximation to the fixed point accurate to within 10^-4. Use Corollary 2.4 to estimate the number of iterations required to achieve 10^-4 accuracy, and compare this theoretical estimate to the number actually needed. | Numerade