\documentclass[a4paper,12pt,french]{article}
\linespread{1}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Définitions de la feuille d'exercices

\newcommand{\ch}{Chapitre 1}
\newcommand{\Ch}{Divers raisonnements \linebreak math\'emathiques}
\newcommand{\Cl}{TG6}
\newcommand{\Annee}{2012-2013}
\newcommand{\num}{2}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%		Packages
%\usepackage[french,lined,boxed,commentsnumbered]{algorithm2e}

\input macro_final.tex

\geometry{tmargin=2cm,bmargin=2.4cm,hmargin=2cm}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%	Début
\begin{document}
 
\debutSsCadreCha

Soient $(u_n)$ et $(v_n)$ deux suites.\\

\textbf{Somme : }$ \lim\limits_{n \to +\infty} (u_n+v_n)$
\begin{center}
  \begin{tabular}{|>{\columncolor[gray]{0.85}}>{\centering}m{2.4cm} *{6}{|>{\centering}m{2.1cm}} |} \hline
$\lim\limits_{n\to+\infty} u_n$ &\makebox[3em]{$\ell$}&$\ell$&$\ell$&$+\infty$&$-\infty$&$+\infty$\tabularnewline\hline
 $\lim\limits_{n\to+\infty} v_n$  & \makebox[3em]{$\ell'$} & $+\infty$ & $-\infty$ & $+\infty$ & $-\infty$ & $-\infty$  \tabularnewline \hline
\rule[-50pt]{0pt}{100pt}$\lim\limits_{n\to+\infty} (u_n+v_n)$  & &  &  &  &  & 
  \tabularnewline \hline  \end{tabular}\\
  \end{center}
  
\vspace{1cm}
\textbf{Produit : }$ \lim\limits_{n \to +\infty} (u_n v_n)$
\begin{center}
\begin{tabular}{|>{\columncolor[gray]{0.85}}>{\centering}m{2.4cm} *{4}{|>{\centering}m{3.3cm}} |} \hline
$\lim\limits_{n\to+\infty} u_n$ &\makebox[3em]{$\ell$}&$\ell\neq 0$&$\infty$&$0$\tabularnewline\hline
$\lim\limits_{n\to+\infty} v_n$ & \makebox[3em]{$\ell'$} &  $\infty$ & $\infty$ & $\infty$  \tabularnewline \hline
\rule[-50pt]{0pt}{100pt}$\lim\limits_{n\to+\infty} (u_n\times v_n)$  &  & &  &  \tabularnewline \hline  \end{tabular}\\
\end{center}
  
\vspace{1cm}
\textbf{Quotient : }$ \lim\limits_{n \to +\infty} \dfrac{u_n}{v_n}$
\begin{center}
\begin{tabular}{|>{\columncolor[gray]{0.85}}>{\centering}m{2.cm} *{6}{|>{\centering}m{2.2cm}} |} \hline
$\lim\limits_{n\to+\infty} u_n$ &\makebox[3em]{$\ell$}&$\ell$& $\ell$ ou $\infty$&$0$&$0$&$\infty$\tabularnewline\hline
$\lim\limits_{n\to+\infty} v_n$ & \makebox[3em]{$\ell' \neq 0$} &  $\infty$ & $0^+$ ou $0^-$& $0$ & $\infty$ & $\infty$ 
 \tabularnewline \hline
\rule[-50pt]{0pt}{100pt}$\lim\limits_{n\to+\infty} \dfrac{u_n}{v_n}$  &  &  &   &
&    &  \tabularnewline \hline  \end{tabular}\\
\end{center}
  




\end{document}