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Консультация № 189205
16.04.2016, 13:42
0.00 руб.
16.04.2016, 16:23
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1
Уважаемые эксперты! Пожалуйста, помогите найти и охарактеризовать точки разрыва функции 
Обсуждение
16.04.2016, 13:45
общий
Простите, криво написал, имелась в виду эта функция:
y = (x^2 -9)/(x-3) +sin(3x -1)/(3x-1)
y = (x^2 -9)/(x-3) +sin(3x -1)/(3x-1)
17.04.2016, 07:52
общий
это ответ
Здравствуйте, YarLam125!
Функция
не определена при 
и при 
то есть в точках 
и 
При
функция задаётся формулой 
При этом 
Значит, - точка разрыва первого рода. Разрыв функции в этой точке можно устранить, приняв 
При
функция задаётся формулой При этом
потому что
- первый "замечательный" предел. Значит, 
- точка разрыва первого рода. Разрыв функции в этой точке можно устранить, приняв 
С уважением.
Функция
не определена при и при то есть в точках и При
функция задаётся формулой При этом Значит, - точка разрыва первого рода. Разрыв функции в этой точке можно устранить, приняв При
функция задаётся формулой При этомпотому что
- первый "замечательный" предел. Значит, - точка разрыва первого рода. Разрыв функции в этой точке можно устранить, приняв С уважением.
5
Большое спасибо за доступное объяснение!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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