Question

tính giá trị \(\lim\limits_{x\rightarrow-\infty}\dfrac{\sqrt{x^2-3x+6}+2x}{2x-3}\) ?

Answer 1

\(\lim\limits_{x\rightarrow-\infty}\dfrac{-\sqrt{1-\dfrac{3}{x}+\dfrac{6}{x^2}}+2}{2-\dfrac{3}{x}}=\dfrac{-1+2}{2}=\dfrac{1}{2}\)