lim x--> 9 x-9/ корень x-3 lim x--> 2 x^2-5x+6/x^2-4 lim > 2 4x^2+15x+14/x^2-4 lim x--> 9 (корень х+7)-4/х-9

1
lim(√x-3)(√x-3)=lim(∛x+3)=∛9+3=3+3=6
2
lim(x-2)(x-3)/(x-2)(x+2)=lim(x-3)/(x+2)=(2-3)/(2+2)=-1/4
x²-5x+6=0
x1+x2=5 U x1*x2=6⇒x1=2 U x2=3
3
lim(4x+7)(x+2)/(x-2)(x+2)=lim(4x+7)/(x-2)=(-8+7)/(-2-2)=-1/(-4)=1/4
4x²+15x+14=0
D=225-224=1
x1=(-15-1)/8=-2 U x2=(-15+1)/8=-7/4
4
lim[(√(x+7)-4)(√(x+7)+4)]/[(x-9)(√(x+7)+4)]=lim(x+7-16)/[(x-9)(√(x+7)+4)]=
=lim1/(√(x+7)+4)=1/(√(9+7)+4=1/(4+4)=1/8