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Консультация № 186047
15.05.2012, 21:25
78.80 руб.
15.05.2012, 21:41
0
1
1
Здравствуйте! Прошу помощи в следующем вопросе:
Обсуждение
15.05.2012, 22:41
общий
это ответ
Здравствуйте, Максим!
Используем признак Даламбера:
Предел меньше 1 при
На этом интервале ряд сходится абсолютно.
Исследуем граничные точки.
Ряд
сходится как знакочередующийся по признаку Лейбница (
)
Ряд
сходится по признаку Даламбера (предел отношения следующего члена к предыдущему равен 1/e <1)
Область сходимости исходного ряда: [-e/3;e/3]
Используем признак Даламбера:
Предел меньше 1 при
На этом интервале ряд сходится абсолютно.
Исследуем граничные точки.
Ряд
сходится как знакочередующийся по признаку Лейбница ()Ряд
сходится по признаку Даламбера (предел отношения следующего члена к предыдущему равен 1/e <1)Область сходимости исходного ряда: [-e/3;e/3]
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