# Proof need helps

1. May 15, 2004

### Vance

I have

$$x_n_+_1=x_n - \frac{f(x_n)}{g(x_n)}$$

where

$$g(x)=\frac{f(x+f(x))-f(x)}{f(x)}$$

and i am asked to prove that this is quadratically convergent under suitable hypotheses...

Can you help me ?

2. May 15, 2004

### Vance

I proved for you, can you prove me back ?

Thanks