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Консультация № 184859
19.12.2011, 17:28
111.27 руб.
0
2
1
Здравствуйте! У меня возникли сложности с таким вопросом:
Решите примеры только 16 вариатнта, т.е. 3.16,4.16, и т.д.
IDZ_3_semestr.pdf (2.57 Mб)
Решите примеры только 16 вариатнта, т.е. 3.16,4.16, и т.д.
IDZ_3_semestr.pdf (2.57 Mб)
Обсуждение
19.12.2011, 17:40
общий
это ответ
Здравствуйте, Русинов Алексей Игоревич!
3.16
По признаку Даламбера ряд сходится.
4.16
По признаку Коши ряд сходится.
5.16
По интегральному признаку ряд сходится.
6.16
Члены ряда убывают по абсолютной величине, стремясь к нулю, следовательно, по признаку Лейбница ряд сходится.
Ряд, составленный из абсолютных величин:
cходится по интегральному признаку, так как сходится несобственный интеграл:
Исходный ряд абсолютно сходится.
9.16
При х=1 ряд
больше расходящегося гармоничного ряда 
, поэтому он расходится.
При х=2 имеем знакочередующийся ряд
, который сходится по признаку Лейбница (члены ряда убывают по абсолютной величине, стремясь к нулю).
Область сходимости исходящего ряда: (1;2]
3.16
По признаку Даламбера ряд сходится.
4.16
По признаку Коши ряд сходится.
5.16
По интегральному признаку ряд сходится.
6.16
Члены ряда убывают по абсолютной величине, стремясь к нулю, следовательно, по признаку Лейбница ряд сходится.
Ряд, составленный из абсолютных величин:
cходится по интегральному признаку, так как сходится несобственный интеграл:
Исходный ряд абсолютно сходится.
9.16
При х=1 ряд
больше расходящегося гармоничного ряда , поэтому он расходится.При х=2 имеем знакочередующийся ряд
, который сходится по признаку Лейбница (члены ряда убывают по абсолютной величине, стремясь к нулю).Область сходимости исходящего ряда: (1;2]
5
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