Use a fixed-point iteration method to determine a solution accurate to within 10⁻² for x³−x−1=0 on the interval [1,2]. Use p0​=1. Use the first error bound formula in Corollary 2.5 to find n, the (smallest) number of iterations that guarantee the specified accuracy. Then use this number of iterations for your calculations.
Use the iteration function g(x)=√1+1/x​.