Cho hàm số $f\left(x\right)=\left\{\begin{array}{l}2n{ê}^{\text{'}}u-1<x\le 1\\ 1-xn{ê}^{\text{'}}ux\le -1hoacx>1\end{array}\right.$ . Mệnh đề đúng là

He had never experienced such discourtesy towards the president as it occurred at the annual meeting in May.

John was so insubordinate that he lost his job in one week.

Nowadays, it was rather easy to buy a modern TV, and it does pack a punch to bring to life some really awesome visuals.

But what the most prevents women from reaching the boardroom, say bosses and headhunters, is lack of hands-on experience of a firm’s core business.

Choose the letter A, B, C or D to indicate the word that differs from the other three in the position of stress in each of the following questions.

Don’t tell Jane anything about the surprise party for Jack. She has got a big mouth.

Today students are under a lot of pressure due to the high expectation from their parents and teachers.

Giới hạn $\underset{x\to -\infty }{\lim }\frac{\sqrt{x^2+2}-x}{x}$  là

Wearing school uniform is compulsory for students in most school in Vietnam.

Choose the letter A, B, C or D to indicate the word that differs from the other three in the position of stress in each of the following questions.

The first year at university was probably the best and most challenging year of my life. It caused me plenty of troubles.

Cho $f\left(x\right)=\frac{x^2-x}{\left|x\right|}$ . Khi đó, giới hạn $\underset{x\to 0}{\lim }f\left(x\right)$  là

Choose the letter A, B, C or D to indicate the word that differs from the other three in the position of stress in each of the following questions.

Giới hạn $\underset{x\to 1^{+}}{\lim }\frac{x-1}{\sqrt{x-1}}$  là

The people at the party were busy playing some games.

Choose the letter A, B, C or D to indicate the word that differs from the other three in the position of stress in each of the following questions.

Mark the letter A, B, C or D on your answer sheet to indicate the word of phrase that is OPPOSITE in meaning to the underlined part in each of the following question.

Biết hàm số $f\left(x\right)=\left\{\begin{array}{l}{x}^2+an{ê}^{\text{'}}ux\le 1\\ 2x+bn{ê}^{\text{'}}ux>1\end{array}\right.$  có giới hạn khi x → 1. Giá trị của a – b bằng

Choose the letter A, B, C or D to indicate the word that differs from the other three in the position of stress in each of the following questions.

Cho hàm số f(x) thỏa mãn $\underset{x\to 1^{+}}{\lim }f\left(x\right)=2$  và $\underset{x\to 1^{-}}{\lim }f\left(x\right)=m+1$ . Biết giới hạn của f(x) khi x → 1 tồn tại. Giá trị của m là

Choose the letter A, B, C or D to indicate the word that differs from the other three in the position of stress in each of the following questions.

Cho hàm số f(x) thỏa mãn  $\underset{x\to 1^{+}}{\lim }f\left(x\right)=3$ và $\underset{x\to 1^{-}}{\lim }f\left(x\right)=-3$ . Khẳng định đúng là

Tính tổng $S=-\frac{2}{3}+\frac{2}{9}-\frac{2}{27}+\mathrm{...}+{\left(-1\right)}^n\frac{2}{3^n}+\mathrm{...}$

Cho $u_n=\sqrt{n}\left(\sqrt{n+2}-\sqrt{n+1}\right)$  . Khi đó $\underset{n\to +\infty }{\lim }{u}_n$  bằng

Choose the letter A, B, C or D to indicate the word that differs from the other three in the position of stress in each of the following questions.

Choose the letter A, B, C or D to indicate the word that differs from the other three in the position of stress in each of the following questions.

Choose the letter A, B, C or D to indicate the word that differs from the other three in the position of stress in each of the following questions.

Choose the letter A, B, C or D to indicate the word that differs from the other three in the position of stress in each of the following questions.

Choose the letter A, B, C or D to indicate the word that differs from the other three in the position of stress in each of the following questions.

Choose the letter A, B, C or D to indicate the word that differs from the other three in the position of stress in each of the following questions.

Biết $\underset{n\to +\infty }{\lim }\frac{2n^2+n-1}{a{n}^2+1}=1$  với a là tham số. Giá trị của a² – 2a là

Cho $L=\underset{n\to +\infty }{\lim }\left(n^3-2n+1\right)$ . Giá trị của L là

Cho hai dãy số (u_n) và (v_n) thỏa mãn $\underset{n\to +\infty }{\lim }{u}_n=1$  và $\underset{n\to +\infty }{\lim }{v}_n=b\in ℝ$. Xét các khẳng định sau:

$\underset{n\to +\infty }{\lim }\left(u_n+v_n\right)=1+b$(1) ;

$\underset{n\to +\infty }{\lim }\frac{v_n}{u_n}=b$(2) ;

$\underset{n\to +\infty }{\lim }\left(u_n+v_n\right)=b$(3) ;

$\underset{n\to +\infty }{\lim }\frac{u_n}{v_n}=\frac{1}{b}$(4) .

Số khẳng định đúng là

Chứng tỏ rằng các phương trình sau có nghiệm trong khoảng tương ứng:

b) cos x = x, trong khoảng (0; 1).

Chứng tỏ rằng các phương trình sau có nghiệm trong khoảng tương ứng:

a) $x^2=\sqrt{x+1}$ , trong khoảng (1; 2).

Xét tính liên tục của các hàm số sau trên tập xác định của chúng:

b) $g\left(x\right)=\frac{\cos x}{x^2+3x-4}$ .

Xét tính liên tục của các hàm số sau trên tập xác định của chúng:

a) $f\left(x\right)=\frac{x^3+x+1}{x^2-3x+2}$  ;

Tìm tham số m để hàm số $f\left(x\right)=\left\{\begin{array}{l}\frac{x^2-1}{x-1}n{ê}^{\text{'}}ux<1\\ mx+1n{ê}^{\text{'}}ux\ge 1\end{array}\right.$  liên tục trên ℝ.

Cho hàm số $f\left(x\right)=\left\{\begin{array}{l}3n{ê}^{\text{'}}ux\le 1\\ ax+bn{ê}^{\text{'}}u1<x<2\\ 5n{ê}^{\text{'}}ux\ge 2\end{array}\right.$ . Xác định a, b để hàm số liên tục trên ℝ.