Question

Tìm lim\(\left[n\left(\sqrt{n^2+1}-\sqrt{n^2+2}\right)\right]\)

Answer 1

\(=lim\left[n^2\left(\sqrt{1+\dfrac{1}{n^2}}-\sqrt{1+\dfrac{2}{n^2}}\right)\right]\)

\(=+\infty\)