ник3709 Lim (4x^2-7x+3)/(3x^2-2x-1)=
x_1

lim (x-1)(4x-3)/(x-1)(3x+1)=lim(4x-3)/(3x+1)=
x_1 x_1

(4×1-3)/(3×1+1)=1/4.

lim (5х^4-х^3+3х)(х^4-8х^3+1)=
x_~

lim (5-1/x+3/x^3)(1-8/x+1/x^4)=5/1=5.
x-~
lim sin7x/7x=1; 1-ый замечательный предел.
x_0
lim 6sinx/x=6lim sinx/x=6×1=6.
x_0 x_0

lim (1+3/x)^x=lim [(1+3/x)^x/3]^3=e^3.
x_~ x_~