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Сравнение бесконечно малых последовательностей и скоростей возрастания функций

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Опираясь на сравнение простейших бесконечно малых последовательностей, мы сравнили скорости возрастания при x стремящемся к бесконечности важнейших функций ln x, x^a (при a > 0), a^x (при a > 1), Г(x) и x^x, а также установили формулу Стирлинга с асимптотическим разложением a(x) по степеням 1/x

Author(s): Ильин В.А.
Year: 2000

Language: Russian
Pages: 8