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Консультация № 186045
15.05.2012, 21:15
78.80 руб.
15.05.2012, 21:38
0
1
1
Здравствуйте! У меня возникли сложности с таким вопросом:
Обсуждение
15.05.2012, 23:46
общий
это ответ
Здравствуйте, Максим!
Найдем отношение двух соседних членов ряда
Оно стремится к 3/e
Если |3x/e|<1, |x<e/3|, то ряд сходится
При x=e/3 применяя формулу Стирлинга, получим, что член ряда стремится к бесконечности
Откуда член ряда имеет порядок
Ряд расходится при остальных значениях.
Найдем отношение двух соседних членов ряда
Оно стремится к 3/e
Если |3x/e|<1, |x<e/3|, то ряд сходится
При x=e/3 применяя формулу Стирлинга, получим, что член ряда стремится к бесконечности
Откуда член ряда имеет порядок
Ряд расходится при остальных значениях.
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