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Консультация № 191113
08.06.2017, 15:55
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Обсуждение
09.06.2017, 09:39
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это ответ
Здравствуйте, asdf1234!
Чтобы устранить формальную неопределённость, имеющуюся в задании, будем считать, что
при 
заменив знак нестрогого неравенства на знак строгого неравенства.
Функции
непрерывны на всём множестве вещественных чисел. Поэтому заданная функция может быть разрывной только при тех значениях аргумента 
при которых изменяются её аналитические выражения, то есть при 
При
функция имеет разрыв первого рода. Скачок функции равен
При
функция не имеет разрыва.
График функции показан ниже.
Вместо "проколотой" точки левый конец второго участка графика функции можно закончить стрелкой, повёрнутой влево. Такой же стрелкой можно закончить и начало синусоиды.
Чтобы устранить формальную неопределённость, имеющуюся в задании, будем считать, что
при заменив знак нестрогого неравенства на знак строгого неравенства.Функции
непрерывны на всём множестве вещественных чисел. Поэтому заданная функция может быть разрывной только при тех значениях аргумента при которых изменяются её аналитические выражения, то есть при При
функция имеет разрыв первого рода. Скачок функции равен
При
функция не имеет разрыва.
График функции показан ниже.
Вместо "проколотой" точки левый конец второго участка графика функции можно закончить стрелкой, повёрнутой влево. Такой же стрелкой можно закончить и начало синусоиды.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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