\[
\begin{array}{l}
 f(x) = \ln x - x + 2 \\ 
 f^' (x) = \frac{1}{x} - 1 \\ 
 x_0  = 3 \\ 
 x_1  = {x_0  - f(x_0 )/f^' (x_0 ) }= 3 - \frac{{\ln 3 - 3 + 2}}{{\frac{1}{3} - 1}} = 3,147918... \\ 
  \vdots  \\ 
 x_2  = ... \\ 
 \end{array}
\]