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Консультация № 202834
18.05.2022, 08:10
0.00 руб.
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Исследовать на сходимость ряд:
Исследовать на сходимость ряд:
Прикрепленные файлы:
Обсуждение
19.05.2022, 07:01
общий
это ответ
Здравствуйте, Sema!
Рассмотрим сначала ряд
Исследуем его на сходимость, используя интегральный признак Коши:
(вычисление интеграла показано здесь: Ссылка >>). Интеграл сходится, поэтому сходится и рассмотренный ряд. Поскольку общий член заданного ряда меньше общего члена рассмотренного ряда, то заданный ряд тоже сходится.
Рассмотрим сначала ряд
Исследуем его на сходимость, используя интегральный признак Коши:(вычисление интеграла показано здесь: Ссылка >>). Интеграл сходится, поэтому сходится и рассмотренный ряд. Поскольку общий член заданного ряда меньше общего члена рассмотренного ряда, то заданный ряд тоже сходится.
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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