To approximate the square root of a number n, the Babylonians used a method that involves starting with an initial guess x and calculating a sequence of values that approaches the exact answer. Their method was based on the function f(x) = x+n/x/2. Let n = 2, and choose x = 1 as an initial guess for √n = √2. Calculate f(x), f(f(x)), f(f(f(x))), and f(f(f(f(x))))?
