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Консультация № 182932
24.04.2011, 23:53
89.75 руб.
25.04.2011, 00:45
0
6
4
Здравствуйте, уважаемые эксперты! Очень прошу Вас помочь,с этими пределами совсем запуталась, как их правильно решить не пользуясь правилом Лопиталя
lim(x[$8594$]-3)([$8730$](10+x)-[$8730$](4-x))/(2x^2-x-21)
lim(x[$8594$]0)(cos x-cos^5 x)/x^2
lim(x[$8594$]-[$8734$])(x-4)(ln(2-3x)-ln(5-3x))
lim(x[$8594$]-3)([$8730$](10+x)-[$8730$](4-x))/(2x^2-x-21)
lim(x[$8594$]0)(cos x-cos^5 x)/x^2
lim(x[$8594$]-[$8734$])(x-4)(ln(2-3x)-ln(5-3x))
Обсуждение
25.04.2011, 00:17
общий
это ответ
Здравствуйте, Vikka!
2) (cos x-cos5x)/x2=2sin3xsin2x/x2=12*(sin3x/3x)*(sin2x/2x) ---> 12*1*1=12
(используем табличный предел sin u/u ---> 1 при u--->0)
2) (cos x-cos5x)/x2=2sin3xsin2x/x2=12*(sin3x/3x)*(sin2x/2x) ---> 12*1*1=12
(используем табличный предел sin u/u ---> 1 при u--->0)
25.04.2011, 00:26
общий
это ответ
Здравствуйте, Vikka!
1)
2) Преобразуем выражение:
1)
2) Преобразуем выражение:
Об авторе:
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
25.04.2011, 05:44
общий
это ответ
Здравствуйте, Vikka!
Предлагаю решение 3 предела. Не совсем элегантное, но ответ получим. При решении использовали свойства логарифмов и правило Лопиталя дважды.
Не заметил сразу запрет на правило Лопиталя. Предлагаю вариант решения без него.
Будут вопросы обращайтесь в минифорум.
Удачи
Предлагаю решение 3 предела. Не совсем элегантное, но ответ получим. При решении использовали свойства логарифмов и правило Лопиталя дважды.
Не заметил сразу запрет на правило Лопиталя. Предлагаю вариант решения без него.
Будут вопросы обращайтесь в минифорум.
Удачи
25.04.2011, 07:48
общий
Адресаты:
Здравствуйте!
Вы использовали правило Лопиталя. А в условии написано, что правило Лопиталя использоваться не должно.
Будете исправлять? Или ответ следует удалить?
С уважением.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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