Question

Помогите решить пределы)

Answer 1

$large \ lim_{xto1}{3x^2+5x-8over11(1-x)}=begin{vmatrix} 3x^2+5x-8=0\ D=25+96=121\ 3x^2+5x-8=(x-1)(3x+8) end{vmatrix}=lim_{xto1}{(x-1)(3x+8)over11(1-x)}=lim_{xto1}{(x-1)(3x+8)over-11(x-1)}=-{1over11}lim_{xto1}(3x+8)=-{1over11}cdot11=-1\\ lim_{xtoinfty}{5x^2+4x+2over x-2x^2+1}=lim_{xtoinfty}{x^2(5+{4over x}+{2over x^2})over x^2({1over x}-2+{1over x^2})}=-lim_{xtoinfty}{5over2}=-2,5$