1) Liên hợp nhé. $\lim \dfrac{2n-5}{n+\sqrt{n^2-2n+5}}=\lim \dfrac{2-\dfrac{5}{n}}{1+\sqrt{1-\dfrac{2}{n}+\dfrac{5}{n^2}}}=1$2) Liên hợp luôn$\lim \dfrac{-11n+8}{2n-3+\sqrt{4n^2-n+1}}=\lim \dfrac{-11+\dfrac{8}{n}}{2-\dfrac{3}{n} +\sqrt{4-\dfrac{1}{n}+\dfrac{1}{n^2}}}=-\dfrac{11}{4}$3) $\lim \dfrac{5.5^n -36.6^n}{2.2^n .3^n +4.4^n}=\lim \dfrac{5.(\dfrac{5}{6})^n-36}{2+4.(\dfrac{4}{6})^n}=-\dfrac{36}{2}=-18$
1) Liên hợp nhé. $\lim \dfrac{2n-5}{n+\sqrt{n^2-2n+5}}=\lim \dfrac{2-\dfrac{5}{n}}{1+\sqrt{1-\dfrac{2}{n}+\dfrac{5}{n^2}}}=2$2) Liên hợp luôn$\lim \dfrac{-11n+8}{2n-3+\sqrt{4n^2-n+1}}=\lim \dfrac{-11+\dfrac{8}{n}}{2-\dfrac{3}{n} +\sqrt{4-\dfrac{1}{n}+\dfrac{1}{n^2}}}=-\dfrac{11}{2}$3) $\lim \dfrac{5.5^n -36.6^n}{2.2^n .3^n +4.4^n}=\lim \dfrac{5.(\dfrac{5}{6})^n-36}{2+4.(\dfrac{4}{6})^n}=-\dfrac{36}{2}=-18$
1) Liên hợp nhé. $\lim \dfrac{2n-5}{n+\sqrt{n^2-2n+5}}=\lim \dfrac{2-\dfrac{5}{n}}{1+\sqrt{1-\dfrac{2}{n}+\dfrac{5}{n^2}}}=
1$2) Liên hợp luôn$\lim \dfrac{-11n+8}{2n-3+\sqrt{4n^2-n+1}}=\lim \dfrac{-11+\dfrac{8}{n}}{2-\dfrac{3}{n} +\sqrt{4-\dfrac{1}{n}+\dfrac{1}{n^2}}}=-\dfrac{11}{
4}$3) $\lim \dfrac{5.5^n -36.6^n}{2.2^n .3^n +4.4^n}=\lim \dfrac{5.(\dfrac{5}{6})^n-36}{2+4.(\dfrac{4}{6})^n}=-\dfrac{36}{2}=-18$