Đáp án:
C
Giải thích các bước giải:
\(\begin{array}{l}
TXD:D = R\backslash \left\{ 1 \right\}\\
\mathop {\lim }\limits_{x \to \pm \infty } f\left( x \right) = \mathop {\lim }\limits_{x \to \pm \infty } \dfrac{{2x - 3}}{{x - 1}} = \mathop {\lim }\limits_{x \to \pm \infty } \dfrac{2}{1} = 2\\
\to y = 2\\
\to TCN:y = 2\\
\mathop {\lim }\limits_{x \to 1} f\left( x \right) = \mathop {\lim }\limits_{x \to 1} \dfrac{{2x - 3}}{{x - 1}} = \pm \infty \\
\to TCD:x = 1
\end{array}\)