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Консультация № 190013
12.11.2016, 15:49
0.00 руб.
12.11.2016, 18:15
0
8
2
Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Найти точки разрыва функции, если они существуют. Сделать чертеж функции.
https://rfpro.ru/upload/10289
По аналогии не получается решить.
Полагаю, что так примерно, но незнаю куда подставлять.
lim x->0-0y = limx->0-0y (0-2)= -2
lim x->0+0y = limx->0+0y (-3*0+3)= 3
lim x->0-??0y = limx->0-0y (lg0)= 0
lim x->1-0y = limx->0-0y (1-2)= -1
lim x->1+0y = limx->0-0y (-3*1+3)= 0
....запуталась..
Найти точки разрыва функции, если они существуют. Сделать чертеж функции.
https://rfpro.ru/upload/10289
По аналогии не получается решить.
Полагаю, что так примерно, но незнаю куда подставлять.
lim x->0-0y = limx->0-0y (0-2)= -2
lim x->0+0y = limx->0+0y (-3*0+3)= 3
lim x->0-??0y = limx->0-0y (lg0)= 0
lim x->1-0y = limx->0-0y (1-2)= -1
lim x->1+0y = limx->0-0y (-3*1+3)= 0
....запуталась..
Обсуждение
12.11.2016, 17:48
общий
12.11.2016, 20:07
это ответ
Здравствуйте, nichya23@gmail.com!
В действительности в точке x=1 функция непрерывна. Об этом написано во втором ответе на Ваш вопрос.
В действительности в точке x=1 функция непрерывна. Об этом написано во втором ответе на Ваш вопрос.
12.11.2016, 18:12
общий
Адресаты:
Вы уверены, что при 
заданная функция имеет устранимый разрыв? Функция в этой точке не определена или имеет частное значение, отличное от предела в этой точке?
заданная функция имеет устранимый разрыв? Функция в этой точке не определена или имеет частное значение, отличное от предела в этой точке?
Об авторе:
Facta loquuntur.
Facta loquuntur.
12.11.2016, 18:53
общий
Адресаты:
А как насчёт устранимого разрыва в рассмотренной Вами функции - он есть или его нет? Значение функции равно её обоим пределам. Посмотрите на странице 159 здесь.
Об авторе:
Facta loquuntur.
Facta loquuntur.
12.11.2016, 19:23
общий
это ответ
Здравствуйте, nichya23@gmail.com!
Уточню предыдущий ответ на Ваш вопрос. В точке имеем
Поэтому функция непрерывна в этой точке в соответствии с определением непрерывности функции в точке.
Уточню предыдущий ответ на Ваш вопрос. В точке
имеемПоэтому функция непрерывна в этой точке в соответствии с определением непрерывности функции в точке.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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