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Консультация № 202835
18.05.2022, 08:11
0.00 руб.
1
1
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Исследовать на сходимость ряд
Исследовать на сходимость ряд
Прикрепленные файлы:
Обсуждение
19.05.2022, 16:08
общий
это ответ
Здравствуйте, Sema!
Несобственные интегралы
и 
расходятся (это показано здесь: Ссылка >> и здесь: Ссылка >>). Тогда расходится и "промежуточный" несобственный интеграл 
а с ним, согласно интегральному признаку сходимости, и ряд с положительными членами 
Значит, заданный ряд сходится условно, в соответствии с признаком Лейбница.
Несобственные интегралы
и расходятся (это показано здесь: Ссылка >> и здесь: Ссылка >>). Тогда расходится и "промежуточный" несобственный интеграл а с ним, согласно интегральному признаку сходимости, и ряд с положительными членами Значит, заданный ряд сходится условно, в соответствии с признаком Лейбница.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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