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Консультация № 198233
13.04.2020, 19:35
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Здравствуйте! У меня возникли сложности с таким вопросом:
Выберите правильное продолжение фразы: если f(x) и f(x)+g(x) непрерывны в точке a,
Выберите правильное продолжение фразы: если f(x) и f(x)+g(x) непрерывны в точке a,
Обсуждение
22.07.2022, 07:01
общий
это ответ
Здравствуйте, master87!
Выбирать не из чего, поэтому правильное продолжение может быть таким: "то и g(x) непрерывна в точке a".
Это верно в силу того, что g(x)=(f(x)+g(x))-f(x), то есть функция g(x) является разностью двух непрерывных в точке a функций и, в соответствии с известной теоремой (смотрите, например, здесь: Ссылка >>), тоже непрерывна в точке a.
Выбирать не из чего, поэтому правильное продолжение может быть таким: "то и g(x) непрерывна в точке a".
Это верно в силу того, что g(x)=(f(x)+g(x))-f(x), то есть функция g(x) является разностью двух непрерывных в точке a функций и, в соответствии с известной теоремой (смотрите, например, здесь: Ссылка >>), тоже непрерывна в точке a.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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