2 replies to this topic

[snowangel1103]

Tìm giới hạn dãy số

$1/ lim\frac{\sqrt{n^2+2n+4}+(3\sqrt{n}+1)(2\sqrt{n}+1)}{(\sqrt{n}-1)(2\sqrt{n}+3)+\sqrt{4n^2+n+1}}$

 

$2/ lim\frac{\sqrt{4n^2+3n+1}+n+2}{2n-3+\sqrt{n^2+1}}$

 

[tienvuviet]

$\lim \dfrac{\sqrt{1+\dfrac{2}{n}+\dfrac{4}{n^2}}+(3+\dfrac{1}{\sqrt n})(2+\dfrac{1}{\sqrt n})}{(1-\dfrac{1}{\sqrt n})(2+\dfrac{3}{\sqrt n})+\sqrt{4+\dfrac{1}{n}+\dfrac{1}{n^2}}}=\dfrac{7}{4}$

Edited by tienvuviet, 19-01-2014 - 12:21.

[tienvuviet]

$\lim \dfrac{\sqrt{4+\dfrac{3}{n}+\dfrac{1}{n^2}}+1+\dfrac{2}{n}}{2-\dfrac{3}{n} +\sqrt{1+\dfrac{1}{n^2}}}=1$