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Консультация № 181003
28.11.2010, 23:55
0.00 руб.
29.11.2010, 08:07
0
3
1
Здравствуйте, уважаемые эксперты! Прошу Вас ответить на следующий вопрос:
разложить функцию в ряд Тейлора. найти область сходимости полученного ряда.
f(x)=1/([$8730$]x-1), x0=2.
Никак не получается вывести точную формулу для n-ой производной :(
разложить функцию в ряд Тейлора. найти область сходимости полученного ряда.
f(x)=1/([$8730$]x-1), x0=2.
Никак не получается вывести точную формулу для n-ой производной :(
Обсуждение
29.11.2010, 08:02
общий
Здравствуйте!
Уточните, пожалуйста, что находится в знаменателе: √x - 1 или √(x - 1)?
С уважением.
Уточните, пожалуйста, что находится в знаменателе: √x - 1 или √(x - 1)?
С уважением.
Об авторе:
Facta loquuntur.
Facta loquuntur.
Неизвестный
29.11.2010, 11:31
общий
это ответ
Здравствуйте, Litta!
Вы уточнили, что в знаменателе находится
.
Тогда функция имеет вид:
.
Считаем производные:
...
Произведение нечетных чисел от 1 до 2n-1 можно представить так:
Отсюда
Вы уточнили, что в знаменателе находится
.Тогда функция имеет вид:
.Считаем производные:
...
Произведение нечетных чисел от 1 до 2n-1 можно представить так:
Отсюда
5
Спасибо, вот как раз середина с факториалами и не получалась, все просто и красиво
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