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Консультация № 198676
23.05.2020, 08:34
0.00 руб.
1
1
1
Здравствуйте! Прошу помощи в решении:
Исследовать на сходимость ряд
∑_(n=1)^∞▒(n²+3)/(n+1)!.
Рисунок прилагаю
Исследовать на сходимость ряд
∑_(n=1)^∞▒(n²+3)/(n+1)!.
Рисунок прилагаю
Прикрепленные файлы:
Обсуждение
27.05.2020, 17:58
общий
это ответ
Здравствуйте, master87!
Воспользуемся признаком Даламбера: пусть для ряда
существует предел
тогда ряд сходится при [$961$] < 1 и расходится при [$961$] > 1 (при [$961$] = 1 ряд может как сходиться, так и расходиться). В данном случае
и
следовательно, ряд сходится.
Воспользуемся признаком Даламбера: пусть для ряда
существует предел
тогда ряд сходится при [$961$] < 1 и расходится при [$961$] > 1 (при [$961$] = 1 ряд может как сходиться, так и расходиться). В данном случае
и
следовательно, ряд сходится.
5
Спасибо!
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