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Консультация № 67348
17.12.2006, 11:59
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Привет))).. хм с чего начать.... мне надо решить задачки, знаю что я отниму ваше драгоценное время.. но по зарез надо.. завтра сдать.... а я поняла что это не решу.... обидно... Помогите пожалуйста, чем сможете....буду очень признательна вам.... вот задачки:
1. Вычислить предел последовательности
n (sqrt(n+5) – sqrt(n-1))
2. Вычислить предел последовательности
a_n = (4n^(3) +3n^(2)-3) / ( (2n - 1)(3n-1)(n-1) ) ... это я решила)) у меня получилось 2/3
3. Вычислить предел функции
y = (cos5x – cos2x) / 2x^(2) ; x -> 0
4. Вычислить предел последовательности
a_n = ( 1+ 1/(n^(2) – 2) ) ^ (4n^2 - 5)
Спасики, вам, заранее.....
1. Вычислить предел последовательности
n (sqrt(n+5) – sqrt(n-1))
2. Вычислить предел последовательности
a_n = (4n^(3) +3n^(2)-3) / ( (2n - 1)(3n-1)(n-1) ) ... это я решила)) у меня получилось 2/3
3. Вычислить предел функции
y = (cos5x – cos2x) / 2x^(2) ; x -> 0
4. Вычислить предел последовательности
a_n = ( 1+ 1/(n^(2) – 2) ) ^ (4n^2 - 5)
Спасики, вам, заранее.....
Обсуждение
Неизвестный
18.12.2006, 09:06
общий
это ответ
Здравствуйте, Олюшка!
1)
Умножим и разделим на выражение (sqrt(n+5) + sqrt(n-1))
Ответ: бесконечность.
3)
Воспользуемся правилом Лопиталя
тогда
Lim(-5sin(5*x)+2*sin(2*x))/(4*x)
Далее замечательный предел sin(a*x)/x = a
Ответ: -21/4
4)
Простите не успеваю. Попробуйте замечательный предел с экспонентой.
Удачи!
1)
Умножим и разделим на выражение (sqrt(n+5) + sqrt(n-1))
Ответ: бесконечность.
3)
Воспользуемся правилом Лопиталя
тогда
Lim(-5sin(5*x)+2*sin(2*x))/(4*x)
Далее замечательный предел sin(a*x)/x = a
Ответ: -21/4
4)
Простите не успеваю. Попробуйте замечательный предел с экспонентой.
Удачи!
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