Lim x-> 1/2 (4x^2 - 8x + 3)/(2x^2 - 7x + 3) =
= Правило Лопиталя =
= lim x-> 1/2 (8x - 8)/(4x - 7) =
= (4 - 8)/(2 - 7) = ( - 4)/( - 5) = 4/5 = 0,8
lim x->∞ (2x^6 - 3x^2 + 7)/(6x^6 + 3x^5 - 2x) =
= делим на старшую степень =
= lim x->∞ (2 - 0 + 0)/(6 + 0 - 0 ) =
= 2/6 = 1/3