Question

lim{x→ +∞} = √(x^4 + 2x -1) / 2x^2 -1

obs : 2x^2 -1 é fora da raiz

Answer 1

$L=\lim\limits_{x\to+\infty}\dfrac{\sqrt{x^4+2x-1}}{2x^2-1}\\ \\ \\ L=\lim\limits_{x\to+\infty}\dfrac{\sqrt{1+\dfrac{2}{x^3}-\dfrac{1}{x^4}}}{2-\dfrac{1}{x^2}}\\ \\ \\ L=\dfrac{\sqrt{1+0-0}}{2-0}\\ \\ \\ \boxed{\boxed{L=\dfrac{1}{2}}}$