Question

\(\lim\limits_{x\rightarrow+\infty}\)\(\dfrac{3x^2+5x+1}{2x^2+x+1}\)

Answer 1

Ta có: \(\lim\limits_{x\rightarrow+\infty}\dfrac{3x^2+5x+1}{2x^2+x+1}=\lim\limits_{x\rightarrow+\infty}\dfrac{3+\dfrac{5}{x}+\dfrac{1}{x^2}}{2+\dfrac{1}{x}+\dfrac{1}{x^2}}=\dfrac{3}{2}\)

Answer 2

\(\lim_\limits{x\to+\infty} \dfrac{3x^2+5x+1}{2x^2+x+1} \\ =\lim_\limits{x\to+\infty}\dfrac{3+\frac{5}{x}+\frac{1}{x^2}}{2+\frac{1}{x}+\frac{1}{x^2}}\\=\lim_\limits{x\to+\infty}\dfrac{3}{2}=\dfrac{3}{2}\)