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Консультация № 201854
07.12.2021, 22:03
0.00 руб.
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Исследовать на абсолютную и условную сходимость знакочередующийся ряд:
Исследовать на абсолютную и условную сходимость знакочередующийся ряд:
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Обсуждение
09.12.2021, 13:10
общий
это ответ
Здравствуйте, maxim!
Рассмотрим сначала положительный ряд
составленный из модулей членов заданного ряда. Каждый член этого ряда не больше члена сходящегося ряда 
поэтому и он сходится. Тогда по признаку Лейбница сходится и заданный знакочередующийся ряд, причём абсолютно.
Рассмотрим сначала положительный ряд
составленный из модулей членов заданного ряда. Каждый член этого ряда не больше члена сходящегося ряда поэтому и он сходится. Тогда по признаку Лейбница сходится и заданный знакочередующийся ряд, причём абсолютно.
5
Спасибо!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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