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[tex]x_n_+_1=x_n - \frac{f(x_n)}{g(x_n)}[/tex]

where

[tex]g(x)=\frac{f(x+f(x))-f(x)}{f(x)}[/tex]

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

Can you help me ?

Thanks in advance,

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# Proof need helps

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