Oblicz granice Wszystko w załączniku daje zdj. DAje naj :)

a) [latex]lim_{x oinfty}{(x-sqrt{x})}=lim_{x oinfty}{frac{x^2-x}{sqrt{x}+x}}=lim_{x oinfty}{frac{x(x-1)}{x(1+1/sqrt{x})}} oinfty[/latex] b) [latex]lim_{x oinfty}{(sqrt{4x^2-1}-2x)}=lim_{x oinfty}{frac{4x^2-1-4x^2}{sqrt{4x^2-1}+2x}}=lim_{x oinfty}{frac{-1}{2x(sqrt{1-1/4x^2}+1}}=0[/latex] c) x=-n [latex]lim_{n oinfty}{(sqrt{-2n+n^2}-n)}=lim_{n oinfty}{frac{-2n+n^2-n^2}{sqrt{-2n+n^2}+n}}=lim_{n oinfty}{frac{-2n}{n(sqrt{-2/x+1}+1)}}=-1[/latex] d) [latex]lim_{x oinfty}{frac{sqrt{x^2+2x}}{x^2+1}}=lim_{x oinfty}{frac{x(sqrt{1+2/x})}{x^2(1+1/x)}}=0[/latex] e) [latex]lim_{x oinfty}{frac{x^2sqrt{1+2/x^3}}{x(1+1/x)} oinfty[/latex] f) x=-n [latex]lim_{n oinfty}{frac{nsqrt{1+3/n^2}}{nsqrt{1-1/n}}}=1[/latex] pozdrawiam  --------------- "non enim possumus quae vidimus et audivimus non loqui