Предмет: Математика, автор: ryazano2

Помогите срочно!!!Вычислите предел:
1)limx->1(x^2-3x+5)
2)limx->1/2 2x+3/4x+2
3)limx->-1 x+1/x^2+x
4)limx->4 под конем 3x-8

Ответы

Автор ответа: THEcatMAY
0
решение
1)
x^2 - 3x + 2 =(x-1)(x-2)
4 - x - 3x^2=-(x-1)(3x+4)
(чтоб разбить многочлен на множители его надо приравнять нулю и решить полученное уравнение. в нашем случае это квадратное уравнение. корни я нашел в уме. многочлен разбивается на множители типа (х - корень1)(х-корень2)*...*(х-кореньN))
x^2 - 3x + 2 / 4 - x - 3x^2 = (x-1)(x-2) / -(x-1)(3x+4) = (x-2) / -(3x+4) = -1/( -7) = 1/7
ответ 1/7

2)
lim (1+5/x)^8+x/2 = lim (1+ 1/(х/5))^((x/5)*(8+x/2) / (x/5)) = lim e ^ ((8+x/2) / (x/5)) = lim e ^ ((x/2) / (x/5)) = e ^ (5 / 2)
Автор ответа: ryazano2
0
совершенно не правильно
Автор ответа: THEcatMAY
0
если ты не решил откуда знаешь
Автор ответа: ryazano2
0
мне ответы скинули но надо проверить
Похожие вопросы
Предмет: Английский язык, автор: sakhipkereevaa
1. I am ___________ (tall) my sister.
2. My mum thinks that cats are ___________ (good) pets than dogs.
3. Cycling is one of ___________ (dangerous) sports.
4. I want to have ___________ (big) car.
5. A blue whale is ___________ (heavy) twenty-five elephants.
6. You look ___________ (thin) last month. Have you lost weight?
7. Bicycles are ___________ (slow) cars.
8. She is ___________ (nice) person I know.
9. What is ___________ (good) film you´ve seen?
10. Computers are ___________ (cheap) mobile phones.
11. Is your brother ___________ (tall) you?
12. I think Spanish is ___________ (easy) Japanese.
13. Our dog is ___________ (nice) your dog.
14. Glass bottles are ___________ (good) plastic bottles.
15. I think Rafael Nadal is ___________(good) tennis player in Spain.
16. Sharks are ___________ (dangerous) other fish.
17. This situation is ___________ (serious) the last one.
18. He is ___________ (smart) his brother.
19. My brother wanted ___________ (expensive) trainers in the shop.
20. Today is ___________ (good) day of the year.
21. Daniela is ___________ (funny) me.
22. My house is ___________ (larger).
23. Mount Everest is ___________ (high) mountain in the world.
24. The sea is ___________ (large) a lake.
25. My job is ___________ (easy) yours.
26. London is ___________ (big) city in England.
27. This car is ___________ (comfortable) yours.
28. He is ___________ (rich) man in town.
29. I am ___________ (strong) you.
30. A baby blue whale gets ___________ (big) a great white shark.