Giới hạn của hàm số !!

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

A.\[\frac{1}{5}.\]

B. \[\sqrt 5 .\]

C. \[\frac{1}{{\sqrt 5 }}.\]

D. 5

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

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

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

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

A.1.

B.\[ - \infty .\]

C.0.

D.\[ + \infty .\]

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

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

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

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

A.\[\mathop {\lim }\limits_{x \to - \infty } c = c\]

B. \[\mathop {\lim }\limits_{x \to + \infty } \frac{c}{{{x^k}}} = + \infty \]

C. \[\mathop {\lim }\limits_{x \to - \infty } {x^k} = 0\]

D. \[\mathop {\lim }\limits_{x \to + \infty } {x^k} = - \infty \]

A.\[ - \infty .\]

B. \[ + \infty .\]

C. \[ - \frac{{15}}{2}.\]

D. 1

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

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

C. \[\mathop {\lim }\limits_{x \to + \infty } f\left( x \right) = + \infty \Leftrightarrow \mathop {\lim }\limits_{x \to - \infty } \left[ { - f\left( x \right)} \right] = - \infty \]

D. \[\mathop {\lim }\limits_{x \to + \infty } f\left( x \right) = - \infty \Leftrightarrow \mathop {\lim }\limits_{x \to + \infty } \left[ { - f\left( x \right)} \right] = - \infty \]

A.\[\mathop {\lim }\limits_{x \to + \infty } {x^n} = - \infty \]

B. \[\mathop {\lim }\limits_{x \to \pm \infty } {x^n} = + \infty \]

C. \[\mathop {\lim }\limits_{x \to - \infty } {x^n} = - \infty \]

D. \[\mathop {\lim }\limits_{x \to - \infty } {x^n} = + \infty \]

A.0.

B.\[ + \infty .\]

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

D. \[ - \infty .\]

A.\[ + \infty .\]

B.2.

C.4.

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

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

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

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

A.$\underset{x\to +\infty }{\lim }f\left(x\right)=L$

B.$\underset{x\to -\infty }{\lim }f\left(x\right)=L$

C.$\underset{x\to x_0}{\lim }f\left(x\right)=L$

D.$\underset{x\to L}{\lim }f\left(x\right)=x_0$

A.$\frac{1}{5}$

B.$\sqrt{5}$

C.$\frac{1}{\sqrt{5}}$

D.5

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

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

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

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

A.0

B.1

C.2

D.3

A.$\underset{x\to x_0^{+}}{\lim }f\left(x\right)=L$

B.$\underset{x\to x_0^{-}}{\lim }f\left(x\right)=L$

C.$\underset{x\to +\infty }{\lim }f\left(x\right)=L$

D.$\underset{x\to -\infty }{\lim }f\left(x\right)=L$

A.1

B.$-\infty$

C.0

D.$+\infty$

A.$\underset{x\to x_0^{+}}{\lim }f\left(x\right)=L$

B.$\underset{x\to x_0^{+}}{\lim }f\left(x\right)=-L$

C.$\underset{x\to x_0^{-}}{\lim }f\left(x\right)=-L$

D.$\underset{x\to x_0^{+}}{\lim }f\left(x\right)=-\underset{x\to x_0^{-}}{\lim }f\left(x\right)$

A.$-\infty$

B.$+\infty$

C.$-\frac{15}{2}$

D.1

A.$\underset{x\to -\infty }{\lim }c=c$

B.$\underset{x\to +\infty }{\lim }\frac{c}{x^k}=+\infty$

C.$\underset{x\to -\infty }{\lim }{x}^k=0$

D.$\underset{x\to +\infty }{\lim }{x}^k=-\infty$

A.$\underset{x\to +\infty }{\lim }f\left(x\right)=+\infty \iff \underset{x\to +\infty }{\lim }\left[-f\left(x\right)\right]=+\infty$

B.$\underset{x\to +\infty }{\lim }f\left(x\right)=+\infty \iff \underset{x\to +\infty }{\lim }\left[-f\left(x\right)\right]=-\infty$

C.$\underset{x\to +\infty }{\lim }f\left(x\right)=+\infty \iff \underset{x\to -\infty }{\lim }\left[-f\left(x\right)\right]=-\infty$

D.$\underset{x\to +\infty }{\lim }f\left(x\right)=-\infty \iff \underset{x\to +\infty }{\lim }\left[-f\left(x\right)\right]=-\infty$

A.0

B.$+\infty$

C.$\sqrt{2}-1$

D.$-\infty$

A.$\underset{x\to +\infty }{\lim }{x}^n=-\infty$

B.$\underset{x\to \pm \infty }{\lim }{x}^n=+\infty$

C.$\underset{x\to -\infty }{\lim }{x}^n=-\infty$

D.$\underset{x\to -\infty }{\lim }{x}^n=+\infty$

A.$+\infty$

B.2

C.4

D.$-\infty$

A.$\underset{x\to +\infty }{\lim }\frac{x^2+1}{2x^2+1}=\frac{1}{2}$

B.$\underset{x\to -\infty }{\lim }\left(x^2+3x-1\right)=-\infty$

C.$\underset{x\to +\infty }{\lim }\frac{x+1}{2x+1}=\frac{1}{2}$

D.$\underset{x\to -\infty }{\lim }\frac{x+3}{2x+1}=\frac{1}{2}$

A.3

B.5

C.-1

D.2

A.$P=18$

B.$P=12$

C.$P=9$

D.$P=5$

A.$x^2-11x+10=0$

B.$x^2-5x+6=0$

C.$x^2-8x+15=0$

D.$x^2+9x-10=0$

A.$I=\frac{1}{2}$

B.$I=\frac{46}{31}$

C.$I=\frac{17}{11}$

D.$I=\frac{3}{2}$

A.$S=13$

B.$S=9$

C.$S=4$

D.$S=1$

A.$T=\frac{12}{25}$

B.$T=\frac{4}{25}$

C.$T=\frac{4}{15}$

D.$T=\frac{6}{25}$

A.$L=43$

B.$L=23$

C.$L=13$

D.$L=53$

A.$S=-1$

B.$S=0$

C.$S=2017$

D.$S=2018$

A.5

B.37

C.13

D.51