Hello! In Newton's method, I am having difficulty understanding why the convergence is quadratic. I can imagine the closer and closer approximations moving along the x-axis as the base of a right angle triangle, but I cannot see from here how I arrive at the convergence being quadratic. Any one know of any sources that explain this in a straightforward manner? Or would any one like to attempt to explain this for me?! It's really bugging me! Thanks in advance.