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Консультация № 189836
Обсуждение
02.10.2016, 21:35
общий
Воспользуйтесь признаком Коши. Пример простой. У меня такое чувство, что Вы даже не начинали решать
06.10.2016, 08:37
общий
это ответ
Здравствуйте, d28597!
Применим к заданному ряду признак Даламбера:
Если -2<x<2, то D<1, и заданный ряд сходится абсолютно. Если x=[$177$]2, то рассматриваемый ряд имеет вид [sub]n=1[/sub][$8721$][sup][$8734$][/sup]1[sup]n[/sup] и расходится, потому что не выполняется необходимое условие сходимости числового ряда.
Применим к заданному ряду признак Даламбера:
D=lim[sub]n[$8594$][$8734$][/sub]|a[sub]n+1[/sub]/a[sub]n[/sub]|=lim[sub]n[$8594$][$8734$][/sub]|x[sup]2[/sup]/4|.
Если -2<x<2, то D<1, и заданный ряд сходится абсолютно. Если x=[$177$]2, то рассматриваемый ряд имеет вид [sub]n=1[/sub][$8721$][sup][$8734$][/sup]1[sup]n[/sup] и расходится, потому что не выполняется необходимое условие сходимости числового ряда.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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