1) \(\overset{lim}{x\rightarrow1}\)\(\dfrac{x^3-3x+2}{x^4-4x+3}\)\(\)

2)\(\overset{lim}{x\rightarrow2^-}\dfrac{x^3+x^2-4x-4}{x^2-4x+4}\)

3) \(\overset{lim}{x\rightarrow2}\dfrac{\left(x^2-x-2\right)^{20}}{\left(x^3-12x+16\right)^{10}}\)

4)\(\overset{lim}{x\rightarrow0^-}\dfrac{\left(1+x\right)\left(1+4x\right)-1}{x^2}\)

5) \(\overset{lim}{x\rightarrow-1}\dfrac{\sqrt{x+2}-1}{\sqrt{x+5}-2}\)

1. lim\(\dfrac{\left(n+2\right)^{50}.\left(n-3\right)^{80}}{\left(2n-1\right)^{40}.\left(3n-2\right)^{45}}\)

2. lim\(\dfrac{4^n}{2.3^n+4^n}\)

3. lim\(\dfrac{3^n-2.5^n}{7+3.5^n}\)

4. lim\(\dfrac{4^n-5^n}{2^{2n}+3.5^{2n}}\)

5. lim\(\dfrac{\left(-3\right)^n+5^n}{2.\left(-4\right)^n+5^n}\)

1. When she saw the dog coming towards her, she quickly crossed the road.

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2. When you study your lessons carefully, you will do the exercise well.

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3. I don't have a credit card. I find it difficult to book an airline ticket over the phone.

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4. Keith spent a lot of time filling in job application forms because he was unemployed. ____________________________________________________________

5. Because I was walking quickly, I soon caught up with her.

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6. She didn't know where the theater was, so she asked for directions at the hotel reception

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7. She was a nurse. She knew what to do after the accident

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8. He had spent his childhood in Malam, so he knew the town well.

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9. We has spent nearly all our money, so we couldn't take taxis home.

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10. Because we didn't want to offend him, we said nothing about his paintings.

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11. He got off his horse. He began searching for something on the ground.

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12. I had seen the photographs of the place. I had no desire to go there.

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13. She became tired of my complaints about the program. She turned it off.

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14. He found no one at home. He left the house in a bad temper.

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15. He had spent all his money. He decided to go home and ask his father for a job.

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16. She didn’t want to hear the story. She had heard it all before.

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17. I turned on the light. I was astonished at what I saw.

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18. He offered to show us the way home. He thought we were lost.

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19. The tree had fallen across the road. It had been uprooted by the storm.

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20. People were sleeping in the next room. They were waken by the sound of breaking glass.

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21.He had heard that the caves were dangerous. I didn’t like to go any further without a light

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22. The man ran out of the house. He was shouting for help.

Helppp me <3

Tìm m để phương trình có nghiệm

1. 6sin²x + msinx.cosx - cos²x = 2+m

2. msin²x - 3sinx.cosx - m - 1 = 0

Giải các phương trình sau

1) 4cos²x - 6sin²x + 5 sin2x - 4 =0

2) \(\sqrt{3}\)cos²x+ 2sinxcosx - \(\sqrt{3}\)sin²x - 1 =0

3) 2sin²2x - 3sin2x.cos2x + cos²2x = 2

4) 4cos²\(\dfrac{x}{2}\)+\(\dfrac{1}{2}\)sinx+3sin²\(\dfrac{x}{2}\)=3

Helppp meee.. Hic hic :<

Giải các phương trình sau

1) 4cos²x - 6sin²x + 5 sin2x - 4 =0

2) \(\sqrt{3}\)cos²x + 2sinxcosx - \(\sqrt{3}\)sin²x - 1 =0

3) 2sin²2x - 3sin2x.cos2x + cos²2x = 2

4) 4cos² \(\dfrac{x}{2}\)+\(\dfrac{1}{2}\)sinx +3sin²\(\dfrac{x}{2}\) = 3

Cuộn sơ cấp của máy biến thế có 3000 vòng, cuộn thứ cấp 150 vòng, khi đặt vào hai đầu cuộn sơ cấp một hiệu điện xoay chiều 220V thì ở hai đầu cuộn thứ cấp có hiệu điện thế là

A. 200V

B. 11V

C. 22V

D. 240V