Let $f$ be the function defined for every real number $x$ different from $1$ by $f ( x ) = \frac { 3 } { 1 - x }$ and $C _ { f }$ its representative curve in an orthonormal coordinate system. III-A- $\quad \lim _ { x \rightarrow 1 ^ { - } } f ( x ) = - \infty$. III-B- An equation of the tangent line to the curve $C _ { f }$ at the point with abscissa $x = - 1$ is $y = \frac { 3 } { 4 } x + \frac { 3 } { 2 }$. III-C- $f$ is concave on $] 1 ; + \infty [$. For each statement, indicate whether it is TRUE or FALSE.
\section*{Exercise III}
Let $f$ be the function defined for every real number $x$ different from $1$ by $f ( x ) = \frac { 3 } { 1 - x }$ and $C _ { f }$ its representative curve in an orthonormal coordinate system.\\
III-A- $\quad \lim _ { x \rightarrow 1 ^ { - } } f ( x ) = - \infty$.\\
III-B- An equation of the tangent line to the curve $C _ { f }$ at the point with abscissa $x = - 1$ is $y = \frac { 3 } { 4 } x + \frac { 3 } { 2 }$.\\
III-C- $f$ is concave on $] 1 ; + \infty [$.
For each statement, indicate whether it is TRUE or FALSE.