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Консультация № 201225
27.06.2021, 09:00
0.00 руб.
1
1
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Найти область сходимости ряда
Найти область сходимости ряда
Прикрепленные файлы:
Обсуждение
27.06.2021, 20:57
общий
это ответ
Здравствуйте, oligator.a.y!
Вычислим радиус
сходимости заданного ряда:
Значит, заданный ряд сходится абсолютно при
или 
Если
то имеем ряд 
который, очевидно, расходится.
Если
то имеем знакочередующийся ряд 
который сходится условно в соответствии с признаком Лейбница.
Следовательно, область сходимости заданного ряда -- промежуток
Вычислим радиус
сходимости заданного ряда:Значит, заданный ряд сходится абсолютно при
или Если
то имеем ряд который, очевидно, расходится.Если
то имеем знакочередующийся ряд который сходится условно в соответствии с признаком Лейбница.Следовательно, область сходимости заданного ряда -- промежуток
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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