need help....
Hi,
I assume that you know Newton's rule.
$\displaystyle x_{n+1}=x_{n}-\frac{f(x_n)}{f'(x_n)}$
With your function this formula becomes:
$\displaystyle x_{n+1}=x_{n}-\frac{x_n^3-x_n^2-1}{3x_n^2-2x_n}$
Now $\displaystyle x_1 = 1$. Thus
$\displaystyle x_{2}=1-\frac{1-1-1}{3-2}= 2$
$\displaystyle x_{3}=2-\frac{8-4-1}{12-4}= 1.625$
...
$\displaystyle x_{7}\approx 1.465571232$
EB