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Консультация № 201841
07.12.2021, 12:06
0.00 руб.
1
4
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Исследовать числовой ряд на сходимость
Исследовать числовой ряд на сходимость
Прикрепленные файлы:
Обсуждение
08.12.2021, 07:54
общий
08.12.2021, 12:38
это ответ
Здравствуйте, loilya!
Для исследования заданного положительного числового ряда на сходимость воспользуемся радикальным признаком Коши: при
получим
Значит, заданный ряд расходится.
Это решение я сделал в предположении, что суммирование ведётся, начиная с
При 
имеем 
что недопустимо. Впрочем, и в этом случае ряд не может стать сходящимся.
Для исследования заданного положительного числового ряда на сходимость воспользуемся радикальным признаком Коши: при
получимЗначит, заданный ряд расходится.
Это решение я сделал в предположении, что суммирование ведётся, начиная с
При имеем что недопустимо. Впрочем, и в этом случае ряд не может стать сходящимся.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
08.12.2021, 12:39
общий
Адресаты:
Я исправил ошибку, которую по рассеянности допустил при ответе на вопрос.
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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