Oblicz granice [latex] lim_{x o - infty} frac{ sqrt{2-4x}- sqrt{1-x} }{ sqrt{-x} } [/latex]

[latex] lim_{x o -infty}frac{sqrt{2-4x}-sqrt{1-x}}{sqrt{-x}}= lim_{x o -infty}frac{sqrt{-x(4-frac{2}{x})}-sqrt{-x(1-frac{1}{x})}}{sqrt{-x}}=\= lim_{x o -infty}frac{sqrt{-x}left(sqrt{4-frac{2}{x}}-sqrt{1-frac{1}{x}} ight)}{sqrt{-x}}= lim_{x o -infty}left(sqrt{4-frac{2}{x}}-sqrt{1-frac{1}{x}} ight)=\=sqrt{4}-sqrt{1}=2-1=1[/latex]