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Консультация № 201846
07.12.2021, 15:10
0.00 руб.
1
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Найти область сходимости степенного ряда
Найти область сходимости степенного ряда
Прикрепленные файлы:
Обсуждение
09.12.2021, 04:06
общий
Адресаты:
Область сходимости Вашего ряда x = (-3 ; +1]
Прилагаю Маткад-скриншот.
Это не Ответ, а в помощь тем, кто пожелает написать Ответ.
Прилагаю Маткад-скриншот.
Это не Ответ, а в помощь тем, кто пожелает написать Ответ.
Прикрепленные файлы:
12.12.2021, 06:51
общий
это ответ
Здравствуйте, loilya!
При
по признаку Даламбера имеем
ряд, составленный из абсолютных величин членов заданного ряда, сходится абсолютно при
то есть при 
или 
При
получаем знакочередующийся ряд 
который сходится условно по признаку Лейбница.
При
получаем гармонический ряд 
который расходится.
Следовательно, областью сходимости заданного ряда является промежуток
При
по признаку Даламбера имеемряд, составленный из абсолютных величин членов заданного ряда, сходится абсолютно при
то есть при или При
получаем знакочередующийся ряд который сходится условно по признаку Лейбница.При
получаем гармонический ряд который расходится.Следовательно, областью сходимости заданного ряда является промежуток
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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