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Консультация № 175263
14.12.2009, 20:46
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Здравствуйте!!! Решите пожалуйста пример!! С помощью правила Лопеталя!!
предел при Х стремящийся к 1 Х в степени 1/1-Х
предел при Х стремящийся к 1 Х в степени 1/1-Х
Обсуждение
15.12.2009, 00:22
общий
это ответ
Здравствуйте, Лялюшкин Александр Николаевич.Функцию,предел которой нужно найти,запишем ввиде е в степени( 1/1-x)lnx.Находим предел lnx/(1-x) по правилу Лопиталя.Находим производную числителя и делим на производную знаменателя.(1/x)/(-1)=-1/x.Вместо х подставляем 1.Получаем-1.Ответ: e в минус первой степени или 1/e.
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