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{\Large ESG 1990 Option technologique\vspace{2cm}}
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\section*{Exercice I}
Soit $f$ la fonction de $\mathbb{R}$ dans $\mathbb{R}$ telle que $%
:f:x\mapsto f(x)=\dfrac{x}{e^{x}-1}.$
\begin{enumerate}
\item Etudier et représenter graphiquement cette fonction. En déduire que
\begin{equation*}
\forall x\in ]0,+\infty \lbrack ,\quad 1+x4$ et $Y\leqslant 7).$\newline
Calculer la probabilité pour que le commerçant refuse le lot.
\end{enumerate}
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