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Консультация № 187430
04.06.2013, 00:02
100.00 руб.
05.06.2013, 17:46
0
4
1
Уважаемые эксперты! Помогите пожалуйста решить максимум к 9 утра хотя бы 2-3 задания методом Лопиталя-Бернулли, заранее спасибо! ссылка на задания: https://rfpro.ru/upload/9393 или https://rfpro.ru/d/9393.png
Обсуждение
04.06.2013, 07:51
общий
Вы неудачно выбрали время для подачи вопроса. Ночью эксперты, живущие в европейской части, спят, а утром собираются на работу. Трудно успеть решить даже один пример.
Об авторе:
Facta loquuntur.
Facta loquuntur.
04.06.2013, 13:34
общий
это ответ
Здравствуйте, Андрей!
5.
Неопределенность вида 1[$8734$].Обозначим функцию, стоящую под знаком предела через f(x) и найдем предел функции g(x)=lnf(x). Тогда f(x)=eg(x) и limf(x)=elimg(x).
Функцию g(x) перепишем в виде
g(x)=ln(sh4x+1)/8(cos3x-1)
Теперь для g(x) мы имеем неопределенность вида 0/0 и раскрываем ее по правилу Лопиталя
limg(x)=lim((4ch4x/(sh4x+1))/8(-3sin3x)=-(1/6)lim(1/sin3x)
Таким образом, предел g(x) слева равен +[$8734$], а справа равен -[$8734$].
Отсюда следует, что предел f(x) слева равен +[$8734$], а справа 0, поэтому двусторонний предел не существует.
Ответ: не существует.
5.
Неопределенность вида 1[$8734$].Обозначим функцию, стоящую под знаком предела через f(x) и найдем предел функции g(x)=lnf(x). Тогда f(x)=eg(x) и limf(x)=elimg(x).
Функцию g(x) перепишем в виде
g(x)=ln(sh4x+1)/8(cos3x-1)
Теперь для g(x) мы имеем неопределенность вида 0/0 и раскрываем ее по правилу Лопиталя
limg(x)=lim((4ch4x/(sh4x+1))/8(-3sin3x)=-(1/6)lim(1/sin3x)
Таким образом, предел g(x) слева равен +[$8734$], а справа равен -[$8734$].
Отсюда следует, что предел f(x) слева равен +[$8734$], а справа 0, поэтому двусторонний предел не существует.
Ответ: не существует.
5
Неизвестный
04.06.2013, 19:39
общий
04.06.2013, 20:09
Гордиенко Андрей Владимирович Вы неудачно выбрали время для подачи вопроса. Ночью эксперты, живущие в европейской части, спят, а утром собираются на работу. Трудно успеть решить даже один пример.
Буду учитывать на будущее)
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