Let-f-a-continue-function-acknowleding-as-a-fix-point-on-0-1-F-a-function-such-as-dF-dx-f-x-n-u-n-1-F-u-n-F-u-n-Prove-that-lim-n-u-n-

Question Number 86326 by ~blr237~ last updated on 28/Mar/20

L e t f a c o n t i n u e f u n c t i o n a c k n o w l e d i n g

α a s a f i x p o i n t o n [0, 1] . F a f u n c t i o n s u c h a s \frac{d F}{d x} = f (x)

\forall n, u_{n + 1} = \frac{F (u_{n}) - F (α)}{u_{n} - α}

P r o v e t h a t \lim_{n \to \infty} u_{n} = α