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Консультация № 196652
11.10.2019, 20:10
0.00 руб.
1
3
1
Здравствуйте! Прошу помощи в следующем вопросе:
сверху +бесконечность n=1
n^2
сверху +бесконечность n=1
n^2
Прикрепленные файлы:
Обсуждение
15.10.2019, 09:13
общий
это ответ
Здравствуйте, naks1mok!
Согласно радикальному признаку Коши [1, с. 10], если
и существует предел 
то ряд 
сходится, если 
и расходится, если 
В Вашем случае
при 
имеем
то есть
Значит, заданный ряд сходится.
Литература
1. Черненко В. Д. Высшая математика в примерах и задачах. В 3 т. Т. 2. -- СПб.: Политехника, 2003. -- 477 с.
Согласно радикальному признаку Коши [1, с. 10], если
и существует предел то ряд сходится, если и расходится, если В Вашем случае
при имеемто есть
Значит, заданный ряд сходится.Литература
1. Черненко В. Д. Высшая математика в примерах и задачах. В 3 т. Т. 2. -- СПб.: Политехника, 2003. -- 477 с.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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