Chọn phương án A.
Dùng máy tính cầm tay:
Chọn phương án A.
\(\begin{aligned}
L&=\lim\left(\sqrt{n^2-2n+3}-n\right)\\
&=\lim\dfrac{\left(\sqrt{n^2-2n+3}-n\right)\left(\sqrt{n^2-2n+3}+n\right)}{\sqrt{n^2-2n+3}+n}\\
&=\lim\dfrac{\left(n^2-2n+3\right)-n^2}{\sqrt{n^2\left(1-\dfrac{2}{n}+\dfrac{3}{n^2}\right)}+n}\\
&=\lim\dfrac{-2n+3}{n\sqrt{1-\dfrac{2}{n}+\dfrac{3}{n^2}}+n}\\
&=\lim\dfrac{-2+\dfrac{3}{n}}{\sqrt{1-\dfrac{2}{n}+\dfrac{3}{n^2}}+1}\\
&=\dfrac{-2+0}{\sqrt{1-0+0}+1}=-1.
\end{aligned}\)