Giới hạn \(\lim\limits_{x\to+\infty}\dfrac{3x^2-4x+1}{-2x^2+x+1}\) bằng
![]() | \(-\dfrac{3}{2}\) |
![]() | \(-\dfrac{2}{3}\) |
![]() | \(\dfrac{1}{2}\) |
![]() | \(-\infty\) |
Chọn phương án A.
\(\begin{aligned}
\lim\limits_{x\to+\infty}\dfrac{3x^2-4x+1}{-2x^2+x+1}&=\lim\limits_{x\to+\infty}\dfrac{3-\dfrac{4}{x}+\dfrac{1}{x^2}}{-2+\dfrac{1}{x}+\dfrac{1}{x^2}}\\
&=\dfrac{3-0+0}{-2+0+0}=-\dfrac{3}{2}.
\end{aligned}\)