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Консультация № 191784
16.11.2017, 09:32
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Обсуждение
16.11.2017, 11:53
общий
это ответ
Здравствуйте, Ученик!
По признаку Даламбера
Ряд сходится абсолютно при
то есть при 
При 
заданный ряд имеет вид 
и расходится как сравнимый с расходящимся гармоническим рядом 
При 
заданный ряд имеет вид 
и условно сходится в соответствии с признаком Лейбница для условной сходимости знакочередующихся рядов.
Следовательно, областью сходимости заданного ряда является промежуток
По признаку Даламбера
Ряд сходится абсолютно при
то есть при При заданный ряд имеет вид и расходится как сравнимый с расходящимся гармоническим рядом При заданный ряд имеет вид и условно сходится в соответствии с признаком Лейбница для условной сходимости знакочередующихся рядов.Следовательно, областью сходимости заданного ряда является промежуток
5
Огромное Спасибо!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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