oblicz granice ciągów  [latex]a) lim_{n o infty} a_n =frac{4 ^{n}- 5^{n} }{ 4^{n+1}+ 4*5^{n} } b) lim_{n o infty} a_n = sqrt{n+2} - sqrt{n} [/latex]

[latex]a)\ lim_{n o infty} frac{4^{n}-5^{n}}{4^{n}*4+4*5^{n}}=lim_{n o infty} frac{5^{n}((frac{4}{5})^{n}-1)}{5^{n}((frac{4}{5})^{n}*4+4)}=lim_{n o infty} frac{(frac{4}{5})^{n}-1}{(frac{4}{5})^{n}*4+4}=-frac{1}{4}[/latex] [latex] lim_{n o infty} sqrt{n+2}-sqrt{n}= lim_{n o infty} frac{n+2-n}{sqrt{n+2}+sqrt{n}}= lim_{n o infty} frac{2}{sqrt{n+2}+sqrt{n}}=0[/latex]

oblicz granice ciągów  [latex]a) lim_{n o infty} a_n =frac{4 ^{n}- 5^{n} }{ 4^{n+1}+ 4*5^{n} } b) lim_{n o infty} a_n = sqrt{n+2} - sqrt{n} [/latex][/latex]

oblicz granice ciągów  [latex]a) lim_{n o infty} a_n =frac{4 ^{n}- 5^{n} }{ 4^{n+1}+ 4*5^{n} } b) lim_{n o infty} a_n = sqrt{n+2} - sqrt{n} [/latex][/latex]...