1) lim (x² -7x +12)(x -8)/(x² +x -20)=(2² -14 +12)(2-8)/(2² +2 -20) = 6/7
x→2
2) lim (x² -7x +12)(x -8)/(x² +x -20)= lim (x-4)(x-3)(x-8)/(x +5)(x-4) =
х→4 x→4
=lim(x-3)(x-8)/(x +5) = (4-3)(4-8)/(4+5) = -4/9
x→4
3) lim (x² -7x +12)(x -8)/(x² +x -20) =
х→∞
=lim(x-4)(x-3)(x-8)/(x +5)(x-4) =
х →∞
lim(x³-15x²+68x -96)/(х² +х -20)=lim(x-3)(x-8)/(x +5) =
х→∞ х→∞
lim (x² -11x +24)/(х +5)=∞
х→∞