\documentclass[a4paper,12pt,french]{article}
\linespread{1.2}
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\newcommand{\ch}{Chapitre 2}
\newcommand{\Ch}{}	
\newcommand{\Cl}{TG6}	
\newcommand{\Annee}{2012-2013}	
\newcommand{\Int}{Interrogation n$^{\circ}$ 3}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%		Packages
%\usepackage[french,lined,boxed,commentsnumbered]{algorithm2e}

\input macro_final.tex
\geometry{verbose,letterpaper,tmargin=2cm,bmargin=2cm,lmargin=2cm,rmargin=2cm}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%	Début
\begin{document}
 
\pagestyle{empty}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%	Cadre jaune
\textbf{Nom : }$\dots\dots\dots\dots\dots$ \hskip20mm \textbf{Pr\'enom : }$\dots\dots\dots\dots\dots$  \hfill \textbf{Classe : TG6}\\
\Cj{ \Int }


\Exop{
On considère la suite $u$ définie par 
$$\left\{ \begin{array}{l}
 u_0=6 \\ u_{n+1}=0.7 u_n + 1
\end{array}\right.$$
\begin{enumerate}
 \item Démontrer par récurrence que pour tout entier $n$ on a $0 \leq u_{n+1} \leq u_n \leq 6$
 \item Justifier alors que la suite $u$ est convergente.
 \item Déterminer la valeur de sa limite $\ell$.
\end{enumerate}
}






%\vspace*{5cm}
\newpage

\setcounter{exer}{0}
\textbf{Nom : }$\dots\dots\dots\dots\dots$ \hskip20mm \textbf{Pr\'enom : }$\dots\dots\dots\dots\dots$  \hfill \textbf{Classe : TG6}\\
\Cj{ \Int }
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%	Interros Recto

\Exop{
On considère la suite $u$ définie par 
$$\left\{ \begin{array}{l}
 u_0=1 \\ u_{n+1}=0.4 u_n + 2
\end{array}\right.$$
\begin{enumerate}
 \item Démontrer par récurrence que pour tout entier $n$ on a $0 \leq u_{n} \leq u_{n+1} \leq 4$
 \item Justifier alors que la suite $u$ est convergente.
 \item Déterminer la valeur de sa limite $\ell$.
\end{enumerate}
}


\end{document}

 