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Консультация № 168440
28.05.2009, 11:33
0.00 руб.
0
2
1
Здравствйте.. помогите пожалуйста решить задания!
1) lim (3x^3+4x^2-11/-5x^2+3x+4) под lim x->oo (x стремиться к бесконечности)
2) lim (3x^2-5X-2/3x^2+4x+1) под lim x->-1/3
3) lim (sgrt(x^2+10x-1)-sgrt(x^2-16x+5) под lim x->+oo (x стремиться к бесконечности)
4) lim (2x+1/3x-2)^1/3-x под lim x->3
5) lim ((e^tg12x) -1/sin sgrt(3x)arctg sgrt(2x) под lim x->0 sgrt(3x) -кв.корень
6) lim (tgx-ctg2x/cos9x под lim x->П/6
Приложение:
пожалуйста распишите подробно.. очень очень буду благодарен!
1) lim (3x^3+4x^2-11/-5x^2+3x+4) под lim x->oo (x стремиться к бесконечности)
2) lim (3x^2-5X-2/3x^2+4x+1) под lim x->-1/3
3) lim (sgrt(x^2+10x-1)-sgrt(x^2-16x+5) под lim x->+oo (x стремиться к бесконечности)
4) lim (2x+1/3x-2)^1/3-x под lim x->3
5) lim ((e^tg12x) -1/sin sgrt(3x)arctg sgrt(2x) под lim x->0 sgrt(3x) -кв.корень
6) lim (tgx-ctg2x/cos9x под lim x->П/6
Приложение:
пожалуйста распишите подробно.. очень очень буду благодарен!
Обсуждение
Неизвестный
28.05.2009, 17:31
общий
Расставьте, пожалуйста, скобки, чтоб было понятно, что в числителе, а что в знаменателе.
Неизвестный
01.06.2009, 08:46
общий
это ответ
Здравствуйте, Еремеев Андрей Витальевич!
2)
lim (3x^2-5x-2)/(3x^2+4x+1) при x->-1/3
(3x^2-5x-2)=(3x + 1)(x - 2)
(3x^2+4x+1)=(3x + 1)(x + 1)
lim (3x^2-5x-2)/(3x^2+4x+1)=lim (3x + 1)(x - 2)/(3x + 1)(x + 1)=lim (x - 2)/(x + 1)=
=(-1/3- 2)/(-1/3 + 1)=(-7/3)/(2/3)=-7/2=-3,5
2)
lim (3x^2-5x-2)/(3x^2+4x+1) при x->-1/3
(3x^2-5x-2)=(3x + 1)(x - 2)
(3x^2+4x+1)=(3x + 1)(x + 1)
lim (3x^2-5x-2)/(3x^2+4x+1)=lim (3x + 1)(x - 2)/(3x + 1)(x + 1)=lim (x - 2)/(x + 1)=
=(-1/3- 2)/(-1/3 + 1)=(-7/3)/(2/3)=-7/2=-3,5
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