<div class="exercice">
 <span class="exercice"> Exercice : </span>
    Dmontrer les implications suivantes :
   <ol>
   <li>
   <center>\( |x-1| \leq 1 \quad
\Rightarrow \quad \left|\frac{x^2 \sin x -2x}{x^2-6}\right| \leq 4.)
 </center>
 
\fold{solution1}{<span class="solution">Solution</span>}
</li>

<li><center>
\(x \geq 16 \quad 
\Rightarrow \quad \left|\frac{x^2 \exp(-x)}{x^6-20x^2}\right| \leq 
\frac{1}{2}.) </center>

\fold{solution2}{<span class="solution">Solution</span>}
</li>

<li><center>
\( \vert x - 2 \vert \leq 1 \quad 
\Rightarrow \quad \left|\frac{\sqrt{\vert x^2 - 4\vert }}{x \cos (x-2)}\right| \leq 
5 \sqrt{\vert x - 1 \vert}.) </center>

\fold{solution3}{<span class="solution">Solution</span>}
</li>
</ol>
  </div>