Dans le rep\`{e}re ci-dessous, on a construit les premiers termes
  d'une suite $\left( {{u_n}} \right)$ définie par récurrence :


\begin{center}
  \begin{tikzpicture}[general,scale=1]
  \draw [quadrillage] (0,0) grid (5,5);
  \draw [axe] (-.5,0) -- (5,0);
  \draw [axe] (0,-.5) -- (0,5);
  \foreach \x in {1,...,5} \draw (\x,2pt) -- (\x,-2pt) node [below] {\x};
  \foreach \y in {1,...,5} \draw (2pt,\y) -- (-2pt,\y) node [left] {\y};
  \draw plot [domain=-0.5:5] (\x,\x);
  \draw [J1] plot [domain=2.5:5] (\x,1+10/\x);
  \coordinate (u0) at (5,0);
  \coordinate (u1) at (3,0);
  \coordinate (u2) at (4.333,0);
  \coordinate (u3) at (3.308,0);
  \coordinate (u4) at (4.023,0);
  \coordinate (u5) at (3.486,0);



  %\coordinate (yu0) at (0,5);
  \coordinate (yu0) at (0,3);
  \coordinate (yu1) at (0,4.333);
  \coordinate (yu2) at (0,3.308);
  \coordinate (yu3) at (0,4.023);
  \coordinate (yu4) at (0,3.486);



  \coordinate (zu1) at (3,4.33);
  \coordinate (zu2) at (4.333,3.308);
  \coordinate (zu3) at (3.308,4.023);
  \coordinate (zu4) at (4.023,3.486);

  \draw [dashed,C1] (zu1) -- (4.333,4.333) -- (zu2);
  \draw [dashed,C1] (zu3) -- (4.023,4.023) -- (zu4);
  \draw [dashed,C1] (u5) -- (3.486,3.486) ;


  \foreach \n in {0,1} \draw [F1] (u\n) node {$\times$};
  \foreach \n in {0,1,2,3,4} \draw [F1] (yu\n) node {$\times$};
  \foreach \n in {0,1} \draw [F1] (u\n) node [yshift=-.75cm] {$u_{\n}$};

  \foreach \n in {0,1,2,3,4} \draw [dashed,C1] (u\n) |- (yu\n);




\end{tikzpicture}
\end{center}

\begin{exercice} Une valeur approchée de ${u_2}$ est :
  \begin{ChoixQCM}{4}
  \item 3,33
  \item 3,5
  \item 4,33
  \item 4
  \end{ChoixQCM}
\end{exercice}
