% !TeX TXS-program:compile = txs:///pdflatex

\documentclass[margin=5mm]{standalone}
\usepackage[nonpgfplots]{tkz-grapheur}

\begin{document}

\begin{GraphiqueTikz}[x=2.25cm,y=2.25cm,Xmin=-0.25,Xmax=3.75,Xgrilles=0.5,Ymin=-1.6,Ymax=2.4,Ygrilles=0.5]
  \TracerAxesGrilles*[Origine]{}{}
  \RajouterValeursAxeX{1}{1}\RajouterValeursAxeY{1}{1}
  \DefinirCourbe[Trace,Couleur=blue,Debut=0.1,Pas=0.01]{1-x+2*(1+ln(x))/x}
  \TracerCourbe[Couleur=red,StyleTrace=dashed]{3.426-1.368*x}
  \MarquerPts[Couleur=black,Style=o]{(1.6487,1.171)/$A$/above right}
  \PlacerTexte[Couleur=blue]{(0.5,-1.25)}{$\mathcal{C}_2$}
  \PlacerTexte[Couleur=red]{(1,2.35)}{$T_2$}
\end{GraphiqueTikz}

\end{document}