Consider the task of finding the solutions of f(x)=0. If f is the first-degree polynomial f(x)=ax+b, then the solution of f(x)=0 is given by the formula x=−ba. Now let’s l...Consider the task of finding the solutions of f(x)=0. If f is the first-degree polynomial f(x)=ax+b, then the solution of f(x)=0 is given by the formula x=−ba. Now let’s look at how to calculate the approximations x0,x1,x2,…. If x0 is our first approximation, the approximation x1 is defined by letting (x1,0) be the x-intercept of the tangent line to f at x0.
