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Консультация № 186046
15.05.2012, 21:22
78.80 руб.
15.05.2012, 21:39
0
5
2
Здравствуйте! У меня возникли сложности с таким вопросом:
Обсуждение
15.05.2012, 22:24
общий
это ответ
Здравствуйте, Максим!
Ряд сходится, и можно даже непосредственно вычислить его сумму:
Ряд сходится, и можно даже непосредственно вычислить его сумму:
15.05.2012, 22:36
общий
15.05.2012, 23:34
это ответ
Здравствуйте, Максим!
Имеем знакоположительный числовой ряд.
Сравним его с рядом
который сходится в силу интегрального признака Коши, так как несобственный интеграл
(то есть сходится).
Имеем
Следовательно, по признаку сравнения ряд
сходится, поскольку его общий член меньше общего члена сходящегося ряда.
Имеем знакоположительный числовой ряд.
Сравним его с рядом
который сходится в силу интегрального признака Коши, так как несобственный интеграл
(то есть сходится).Имеем
Следовательно, по признаку сравнения ряд
сходится, поскольку его общий член меньше общего члена сходящегося ряда.
15.05.2012, 23:35
общий
Адресаты:
Сделано 
Об авторе:
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
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