1) lim (3x²-17x+10)/(3x²-16x+5)=lim((3x-2)(x-5)/((3x-1)(x-5))=lim (3x-2)/(3x-1)=13/14
2) lim(5-x)/(3-√(2x-1))=lim((5-x)(3+√(2x-1))/((3-√(2x-1))(3+√(2x-1)))=lim((5-x)(3+√(2x-1))/(9-(2x-1))=lim((5-x)(3+√(2x-1))/(2(5-x))=lim(3+√(2x-1))/2=6/2=3
3) lim(√(1+z)-1)/(3z²)=(2-1)/9=1/9