tìm giới hạn:

a,lim(x\(\rightarrow\)1) \(\frac{x^{2016}-1}{x^{2015}-1}\)

b, lim(x\(\rightarrow\)1)\(\frac{x^m-1}{x^n-1}\)(m,n ϵ Z+)

Câu 3. Tìm giá trị của m để hàm số sau có giới hạn tại điểm được chỉ ra:

f(x)=\(\left\{{}\begin{matrix}\frac{\sqrt{2x+2}-\sqrt{3x-1}}{x-1}khix\ne1\\x\left(3-2m\right)\sqrt{m-1}-3m+\frac{3}{4}khim=1\end{matrix}\right.\)tại x=1

P2= lim\(\frac{\sqrt{n+1}}{\sqrt{n}+1}\)

M1= lim\(\frac{1+2+3+...+n}{^{ }n^2+2}\)

A5= lim\(\frac{\left(4-2n\right)^3\left(7n^2+1\right)^5}{\left(n^4+n^3-1\right)^2\left(4-5^5\right)}\)

Bài 1: Cho phương trình: acos2x + sinx = cosx.cotx tìm a để pt có 4 nghiệm thuộc khoảng (0; 2π)

Bài 2: Tìm m để pt cos3x - cos2x + mcosx - 1 = 0 có đúng 7 nghiệm khác nhau thuộc khoảng

Bài 3: Cho hàm số (với a là tham số)

a, với a=1 tìm GTLN,NN của hàm số

b, tìm a để GTLN của hàm số đạt nhỏ nhất

giải hệ phương trình

xy - xy² = -4 (1)

x³ - y³ = 2 (2)

Giải phương trình: \(\frac{tanx-\sqrt{3}}{2cosx+1}\) = 0

Giải phương trình: 2cos²2x-2(\(\sqrt{3}\) + 1)cos2x + \(\sqrt{3}\) = 0

MISTAKE IDENTIFICATION

1. She had had(A) more good marks(B) if she had prepared(C) the lesson carefully(D).

2. If your mother bought(A) you a dictionary(B), you can learn(C) English better(D).

3. If yesterday(A) I had stayed(B) at home, I will not(C) be tired today(D).

4. Unless they come(A) early, they will(B) meet(C) him at the meeting(D).

5. Had(A) you review(B) all the lesson carefully(C), you would have passed(D) the exam.

SENTENCE REWRITING

He smokes too much; that's why he can't get rid of his cough ➙ had

MULTIPLE CHOICES

1. Why didn't you go camping last week? If you..........there, you would have had a lot of fun.

A. were being B. have been C.had been D. was being.

2. What........ if you had had a day off yesterday?

A. would you have done B. would you do C. will you do D. you would have done

3. He would visit us if he........in town.

A. will be B. was C. were D.would be

4. If you didn't stay up late, you.......... get up earlier.

A. will B.can C.could

5. If I heard from Jack, I..........let you know.

A. will B. would C.shall D. had

6. If I knew her number, I.........her.

A. phone B. will phone C. would phone D. had phoned

7. If they were rich, they............buy a castle.

A. will B. can C. would D. were able to

8. If you............. this glass, you would have to pay for it.

A. broke B. breal C. have broken D. had broke

9. If you........... French, which language would you study.

A. were studying B. are studying C. weren't studing D. have been studying.

Complete each sentence with the most approprlate word or phrase from the box:

one at time| for one| one another| one-time| one-away| one by one| all in one| one-off|

one-sided| one in three

a) You may disagree, but I __for one__ think the play is a ghastly failure.

b) The match was a ______ affair with United dominating throughout.

c) Irene Woods, the______ singing start, has written her third musical.

d) According to a survey,______ of all students are unable to pay tuition fees.

e) We are willing to make you a______ payment of ξ1,000 as compensation.

f) Not all together, please! Can you come out to front______.

g) Jim is trainer, coach, manager and driver______.

h) ______ the weary soldies fell exhauted along the side of the road.

i) We can't turn left here. It's a______ street.

j) I wish you kids would stop pushing______ and starting behaving yourselves.

Complete each sentence with the most approprlate word or phrase from the box:

one at time for one one another one-time one-away one by one all in one one-off

one-sided one in three

a) You may disagree, but I __for one__ think the play is a ghastly failure.

b) The match was a ______ affair with United dominating throughout.

c) Irene Woods, the______ singing start, has written her third musical.

d) According to a survey,______ of all students are unable to pay tuition fees.

e) We are willing to make you a______ payment of ξ1,000 as compensation.

f) Not all together, please! Can you come out to front______.

g) Jim is trainer, coach, manager and driver______.

h) ______ the weary soldies fell exhauted along the side of the road.

i) We can't turn left here. It's a______ street.

j) I wish you kids would stop pushing______ and starting behaving yourselves.