Oblicz granicę ciągów: a) [latex] lim_{n o infty} frac{1}{2n+1}=[/latex] b)[latex] lim_{n o infty} frac{2n-4}{5n+7}=[/latex] c)[latex] lim_{n o infty} frac{2n-3}{3n ^{2} }=[/latex] d)[latex] lim_{n o infty} frac{-3n ^{2}+4 }{n-3}= [/latex]

[latex]\a) \lim_{n oinfty}frac{1}{2n+1}=lim_{n oinfty}frac{frac1n}{2+frac1n}=0 \ \b) \lim_{n oinfty}frac{2n-4}{5n+7}=lim_{n oinfty}frac{2-frac4n}{5+frac7n}=frac25 \ \c) \lim_{n oinfty}frac{2n-3}{3n^2}=lim_{n oinfty}frac{frac2n-3/n^2}{3}=0 \ \d) \lim_{n oinfty}frac{-3n^2+4}{n-3}=lim_{n oinfty}frac{-3n+frac4n}{1-frac3n}=-infty[/latex]