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Консультация № 198482
07.05.2020, 18:17
0.00 руб.
0
2
1
Здравствуйте, уважаемые эксперты! Прошу Вашей помощи с решением:
Исследовать абсолютную и условную сходимость числового ряда:
Исследовать абсолютную и условную сходимость числового ряда:
Обсуждение
15.05.2020, 18:19
общий
это ответ
Здравствуйте, Svet_Vitalievna!
Воспользуемся признаком Даламбера: если для ряда [$8721$]a[sub]n[/sub] существует предел
то при [$961$]<1 ряд сходится, а при [$961$]>1 - расходится (при [$961$]=1 ряд может как сходится, так и расходится). В данном случае для
имеем
то есть [$961$]<1, следовательно, ряд
сходится, то есть ряд
сходится абсолютно.
Воспользуемся признаком Даламбера: если для ряда [$8721$]a[sub]n[/sub] существует предел
то при [$961$]<1 ряд сходится, а при [$961$]>1 - расходится (при [$961$]=1 ряд может как сходится, так и расходится). В данном случае для
имеем
то есть [$961$]<1, следовательно, ряд
сходится, то есть ряд
сходится абсолютно.
5
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