Question

помогите решить очень надо

Answer 1

$1)quad limlimits _{x to infty} frac{3x^3-x^2+2x}{x^3-x^4} = limlimits _{x to infty} frac{x(3x^2-x+2)}{x(x^2-x^3)} = limlimits _{x to infty} frac{3x^2-x+2}{x^2-x^3} =\\= limlimits _{x to infty} frac{frac{3}{x}-frac{1}{x^2}+frac{2}{x^3}}{frac{1}{x}-1} =[, frac{0}{-1} , ]=0$

$2)quad limlimits _{x to infty} frac{sqrt{4x^2+2x}-sqrt{x+3}}{sqrt[3]{64x^3+1}+2} =[, frac{:x}{:x} , ]= limlimits _{x to infty} frac{sqrt{4+frac{2}{x}}-sqrt{frac{1}{x}+frac{3}{x^2}}}{sqrt[3]{64+frac{1}{x^3}}+frac{2}{x}} =\\=frac{sqrt{4+0}-sqrt{0+0}}{sqrt[3]{64+0}+0} = frac{2}{4} = frac{1}{2}$