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Консультация № 59239
17.10.2006, 15:38
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Дело в том что для меня вызывает трудность нахождения ассимптот этого графика (x+1/x)^1/3(вычисления предела) не могли бы вы помочь? Буду оч. вам благодарен!
Обсуждение
Неизвестный
17.10.2006, 17:33
общий
это ответ
Здравствуйте, Raz!
Эта функция имеет вертикальную ассимптоту х=0, так как эта точка не входит в область определения функции. Причем слева график уходит в минус бесконечность, а справа в плюс бесконечность. Других ассимптот нет. мах в точке х=-1, а мин в точке х=1.
Эта функция имеет вертикальную ассимптоту х=0, так как эта точка не входит в область определения функции. Причем слева график уходит в минус бесконечность, а справа в плюс бесконечность. Других ассимптот нет. мах в точке х=-1, а мин в точке х=1.
18.10.2006, 12:16
общий
Думаю, что Вам пригодится на будущее ссылка на реферат по нахождению асимптот:http://monax.ru/mathematics/00007527.htmlС уважением,Mr. Andy.
Об авторе:
Facta loquuntur.
Facta loquuntur.
Неизвестный
19.10.2006, 00:41
общий
это ответ
Здравствуйте, Raz!
Функция имеет только частичные пределы в нуле. слева -inf, справа +inf
inf - бесконечность. Соответсвенно, имеет вертикальную асимптоту. Однако, не имеет двустороннего (т.е. обычного) предела в нуле и эта асимптота не ищется по формуле k = lim[x -> inf]( f(x)/x )
Функция имеет только частичные пределы в нуле. слева -inf, справа +inf
inf - бесконечность. Соответсвенно, имеет вертикальную асимптоту. Однако, не имеет двустороннего (т.е. обычного) предела в нуле и эта асимптота не ищется по формуле k = lim[x -> inf]( f(x)/x )
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