Newton's Method of Iteration

Iteration is a repeating process in which the goal is to get a number that is closer to a true value.

There are numerous iteration methods, but we will be focusing on the Newton's Method today.

Newton's Method utilize the Taylor's polynomials to find the root. If the number is getting closer and closer to the true value, we call it converging; and, that's what we want!!


The formula used is

To obtain approximation
1. make an initial guess
2. find the first approximation using the formula
3. repeat the iteration as needed until the values differ in the slightest amount.