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Тема 2. Предел и непрерывность функций.



                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Тема 2. Предел и непрерывность функций.

1.Вычислить пределы:a)b)               c)        d)    e)             f)    h)

2. Исследовать функцию на непрерывность и построить её график:

,   ,

3.Найти область определения функции:


Тема 3. Производная функции.

 

 

1. Найти  по определению производной, если

2. Найти производные функций:

а) ;     б) -?

в) -? ;             г) -?

3. В каких точках касательная к кривой y =          параллельна оси абсцисс?

4. Составить уравнения нормали к кривой  в точке c абсциссой .

5. Составить уравнение нормали к линии параллельно прямой .Сделать чертеж.

6. Вычислить предел по правилу Лопиталя: ,

7. Вычислить предел по правилу Лопиталя:

 

 


Тема 4. Неопределенный интеграл.

 

 

  

   

  

 

 

    

    

 

 



  

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