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Консультация № 181605
25.12.2010, 20:06
75.00 руб.
25.12.2010, 21:03
0
2
1
Здравствуйте, уважаемые эксперты! Прошу Вас ответить на следующий вопрос:
7. Сделать не используя правило Лопиталя
8. Определить порядок функций f1(x) и f2(x) относительно x, предварительно установив, являются ли они в точке x0, бесконечно малыми или бесконечно большими. Сравнить функции f1 и f2 . Выделить главную часть.
9. Определить характер функций (б.б., б.м.) f1(x), f2(x), f3(x) в точке x0 ивыделить главную часть.
7. Сделать не используя правило Лопиталя
8. Определить порядок функций f1(x) и f2(x) относительно x, предварительно установив, являются ли они в точке x0, бесконечно малыми или бесконечно большими. Сравнить функции f1 и f2 . Выделить главную часть.
9. Определить характер функций (б.б., б.м.) f1(x), f2(x), f3(x) в точке x0 ивыделить главную часть.
Обсуждение
Неизвестный
26.12.2010, 20:44
общий
Помогите, пожалуйста. Седьмую решать уже не надо. Остались две последние задачи.
27.12.2010, 10:49
общий
это ответ
Здравствуйте, Александр Сергеевич!
Решение 8.
а) f1(x)/6x=x/6+1 ----> 1 при x--->0
Следовательно, f1(x) бесконечно малая первого порядка при x--->0 с главным членом 6x
б) f2(x)/2x=(ln(1+2tgx)/2tgx)*(2tgx/2x) -----> 1*1=1 при x--->0
Следовательно, f2(x) бесконечно малая первого порядка при x--->0 с главным членом 2x
Таким образом, обе функции являются бесконечно малыми первого порядка.
Решение 8.
а) f1(x)/6x=x/6+1 ----> 1 при x--->0
Следовательно, f1(x) бесконечно малая первого порядка при x--->0 с главным членом 6x
б) f2(x)/2x=(ln(1+2tgx)/2tgx)*(2tgx/2x) -----> 1*1=1 при x--->0
Следовательно, f2(x) бесконечно малая первого порядка при x--->0 с главным членом 2x
Таким образом, обе функции являются бесконечно малыми первого порядка.
5
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