# Matlab Newton's Method

Recall that Newton's Method is an iterative way of approximating a
zero of a function \(f\). The idea is that, given a starting
guess \(x_i\), we compute new estimates of the zero
of \(f\) using the formula
\[x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}\quad n=0,1,\dots\ .\]
One uses this iteration until
\(\vert x_{n+1}-x_n\vert\lt \text{tolerance}\)
or until we give up trying.
Write a Matlab function `newton(f,x0,tolerance)` that finds the
zero of a function using Newton's method.

The last test will take place at the final exam time on
Tuesday, 12 December, from 1:30-3:30. It will be written as a one-hour (not
50 minute) exam, but you may have the full two hours for it.
In other respects it will be very like the other tests, but
comprehensive - it will emphasize Python, but cover all the
topics we have seen.
There is a
Sample Exam, but be aware that things will have changed somewhat
with the advent of ChatGPT.

Assignment A
is posted.