Question

lim\(\dfrac{\sqrt{n+10}}{5\sqrt{n}-4}\)

giúp em với ạ

Answer 1

\(lim\dfrac{\sqrt{n+10}}{5\sqrt{n}-4}\)

\(=lim\dfrac{\sqrt{n+10}}{\sqrt{25n}-4}\)

\(=lim\dfrac{n\sqrt{\dfrac{1}{n}+\dfrac{10}{n}}}{n\sqrt{25}-4}\)

\(=lim\dfrac{\sqrt{\dfrac{1}{n}+\dfrac{10}{n}}}{5+\dfrac{4}{n}}\)

\(=0\)

Answer 2

\(=\lim\dfrac{\sqrt{1+\dfrac{10}{n}}}{5-\dfrac{4}{\sqrt{n}}}=\dfrac{1}{5}\)