Oblicz granicę ciągu (an) a) an= n+3/10n-6 b) an=1-4n/2n-5 c) an= 1-4n /2n-5
Oblicz granicę ciągu (an)
a) an= n+3/10n-6
b) an=1-4n/2n-5
c) an= 1-4n /2n-5
[latex] \lim_{n o infty} frac{n+3}{10n-6} = lim_{n o infty} frac{1+ frac{3}{n} }{10- frac{6}{n} } = frac{1}{10} \ \ lim_{n o infty} frac{1-4n}{2n-5} = lim_{n o infty} frac{ frac{1}{n} -4}{2- frac{5}{n} } = frac{-4}{2} =-2[/latex]