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Консультация № 174407
21.11.2009, 17:31
0.00 руб.
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8
2
дорогие эксперты помогите решить упражнения:
https://rfpro.ru/upload/1064
https://rfpro.ru/upload/1064
Обсуждение
Неизвестный
21.11.2009, 19:31
общий
Лупанов Сергей Викторович:
Добрый вечер! К какому (каким) пределам относится фраза :найти предел функции по правилу Лопиталя?
Добрый вечер! К какому (каким) пределам относится фраза :найти предел функции по правилу Лопиталя?
21.11.2009, 19:43
общий
это ответ
Здравствуйте, Лупанов Сергей Викторович. 1.Производная числителя: 28x-53.Производная знаменателя: x^(-1/2)-(2x+7)^(-1/2).Вместо х подставляем 7/2.Получаем ответ: 45/(2/7^1/2-1/14^1/2).
3
Неизвестный
21.11.2009, 19:53
общий
23.11.2009, 15:07
это ответ
Здравствуйте, Лупанов Сергей Викторович.
Решение здесь https://rfpro.ru/upload/1069
Решение здесь https://rfpro.ru/upload/1069
Неизвестный
21.11.2009, 22:12
общий
v-vik:
Добрый вечер! У Вас некорректное решение задачи 3.1 (при правильном ответе). Дифференцируете отдельно числитель и знаменатель
lim(xn * e-n) = lim (xn)/(ex) = lim (xn)'/(ex)' =
lim (n*xn-1)/(ex) =... Никаких (-1)n нет
Добрый вечер! У Вас некорректное решение задачи 3.1 (при правильном ответе). Дифференцируете отдельно числитель и знаменатель
lim(xn * e-n) = lim (xn)/(ex) = lim (xn)'/(ex)' =
lim (n*xn-1)/(ex) =... Никаких (-1)n нет
Неизвестный
21.11.2009, 22:27
общий
leonid59:
Да, правильно, со степеью -1 я напутал, на автомате сработал:) Спасибо, что заментили
Да, правильно, со степеью -1 я напутал, на автомате сработал:) Спасибо, что заментили
Неизвестный
21.11.2009, 22:51
общий
v-vik:
К сожалению, на этом беды не кончаются. Решил в Excel проверить 3й ответ, получается lim(1/(x*sinx)-1/x^2)->1/6.
lim(1/(x*sinx)-1/x^2) = lim(x-sinx)/(x^2*sinx) = lim(x-sinx)'/(x^2*sinx)'=lim(1-cosx)/(x^2*cosx+2*x*sinx)=lim(sinx)/(-x^2*sinx+2x*cosx+2x*cosx+2sinx)=lim(sinx)/(4x*cosx+sinx*(2-x^2))=lim(1)/(4*x/sinx*cosx+2-x^2)=1/(4*1*1+2)=1/6
К сожалению, на этом беды не кончаются. Решил в Excel проверить 3й ответ, получается lim(1/(x*sinx)-1/x^2)->1/6.
lim(1/(x*sinx)-1/x^2) = lim(x-sinx)/(x^2*sinx) = lim(x-sinx)'/(x^2*sinx)'=lim(1-cosx)/(x^2*cosx+2*x*sinx)=lim(sinx)/(-x^2*sinx+2x*cosx+2x*cosx+2sinx)=lim(sinx)/(4x*cosx+sinx*(2-x^2))=lim(1)/(4*x/sinx*cosx+2-x^2)=1/(4*1*1+2)=1/6
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