Cho hàm số \(f\left( x \right) = \left\{ {\begin{array}{*{20}{c}}{\dfrac{{2{x^2} - 5x + 3}}{{x - 1}}\,\,khi\,\,x > 1}\\{\,\,\,\,\,\,\,3x - 4\,\,\,\,\,\,\,khi\,\,x \le 1}\end{array}} \right.\). Tìm\(\mathop {\lim }\limits_{x \to {1^ - }} f\left( x \right),\,\,\mathop {\lim }\limits_{x \to {1^ + }} f\left( x \right)\) và \(\mathop {\lim }\limits_{x \to 1} f\left( x \right)\) nếu có.
A.\(\mathop {\lim }\limits_{x \to {1^ - }} f(x) =\) không tồn tại.\(\,\,\,\,\,\,\mathop {\lim }\limits_{x \to 1 + } f(x) = - 1\)
B.
C.\(\mathop {\lim }\limits_{x \to {1^ - }} f\left( x \right) = \mathop {\lim }\limits_{x \to {1^ + }} f\left( x \right) = \mathop {\lim }\limits_{x \to 1} f\left( x \right) = - 1\).
D.\(\mathop {\lim }\limits_{x \to {1^ - }} f(x) =+ \infty. \,\,\,\,\,\,\mathop {\lim }\limits_{x \to 1 + } f(x) = - 1\)
