Cho hàm số \(f\left( x \right) = \left\{ {\begin{array}{*{20}{c}}{\frac{{2x}}{{\sqrt {1 - x} }}khi\,x < 1}\\{\sqrt {3{x^2} + 1} \,khi\,x \ge 1}\end{array}} \right.\). Khi đó \[\mathop {\lim }\limits_{x \to {1^ + }} f\left( x \right)\] là:

A.\[\mathop {\lim }\limits_{x \to {x_0}} \left[ {f\left( x \right) + g\left( x \right)} \right] = L\]

B. \[\mathop {\lim }\limits_{x \to {x_0}} \left[ {f\left( x \right) + g\left( x \right)} \right] = M\]

C. \[\mathop {\lim }\limits_{x \to {x_0}} \left[ {f\left( x \right) + g\left( x \right)} \right] = L - M\]

D. \[\mathop {\lim }\limits_{x \to {x_0}} \left[ {f\left( x \right) + g\left( x \right)} \right] = M + L\]

A.0.

B.1.

C.2.

D.3.

A.\[T = \frac{{12}}{{25}}.\]

B. \[T = \frac{4}{{25}}.\]

C. \[T = \frac{4}{{15}}.\]

D. \[T = \frac{6}{{25}}.\]

A.0.

B.\[ + \infty .\]

C. \[\sqrt 2 - 1.\]

D. \[ - \infty .\]

A.\[\mathop {\lim }\limits_{x \to + \infty } \frac{{{x^2} + 1}}{{2{x^2} + 1}} = \frac{1}{2}\]

B. \[\mathop {\lim }\limits_{x \to - \infty } \left( {{x^2} + 3x - 1} \right) = - \infty \]

C. \[\mathop {\lim }\limits_{x \to + \infty } \frac{{x + 1}}{{2x + 1}} = \frac{1}{2}\]

D. \[\mathop {\lim }\limits_{x \to - \infty } \frac{{x + 3}}{{2x + 1}} = \frac{1}{2}\]

A.\[\mathop {\lim }\limits_{x \to + \infty } f\left( x \right) = L\]

B. \[\mathop {\lim }\limits_{x \to - \infty } f\left( x \right) = L\]

C. \[\mathop {\lim }\limits_{x \to {x_0}} f\left( x \right) = L\]

D. \[\mathop {\lim }\limits_{x \to L} f\left( x \right) = {x_0}\]