Question

Answer 1

\(lim\left(x->+vc\right)\dfrac{2x-\sqrt{3x^2+2}}{5x+\sqrt{x^2+1}}=lim\left(x->+vc\right)\dfrac{2-\sqrt{3+\dfrac{2}{x^2}}}{5+\sqrt{1+\dfrac{1}{x^2}}}\\ =\dfrac{2-\sqrt{3+0}}{5+\sqrt{1+0}}=\dfrac{2-\sqrt{3}}{6}\)

Answer 2

\(C=\lim\limits_{x\rightarrow+\infty}\dfrac{2-\sqrt{3+\dfrac{2}{x^2}}}{5+\sqrt{1+\dfrac{1}{x^2}}}=\dfrac{2-\sqrt{3}}{6}\)