1) (3-4/x+7/x^2)/(5-3/x+2/x^2)
ответ: 3/5
2)(2x^2+x-3)=2(x-1)(x+3/2)
(3x^2+2x-5)=3(x-1)(x+5/3)
(2x^2+x-3)/(3x^2+2x-5)=2(x+3/2)/3(x+5/3)
lim=2*(1+3/2)/3(1+5/3)=(2*5/2)/(3*8/3)=5/8
ответ 5/8
3) (sqrt(9+x)-3)(sqrt(9+x)+3)/x*(sqrt(9+x)+3)=
=(9+x-9)/x*(sqrt(9+x)+3)=1/(sqrt(9+x)+3)
lim=1/(sqrt(9)+3)=1/6
ответ 1/6
4. [x^2/(4x+1)(4x^2-1)]*[4x^2+x-4x^2+1]=
=x^2*(x+1)/(4x+1)(4x^2-1)=x^3(1-1/x)/[x^2*(4-1/x^2)(1/x+4)*х]=
=(1-1/x)/[(4-1/x^2)(1/x+4)]
lim=1/(4*4)=1/16
ответ 1/16
