a) lim \(\dfrac{2x-\sqrt{3x^2+2}}{5x+\sqrt{x^2+2}}\)

x-> +∞

b) lim \(\sqrt{\dfrac{x^2+1}{2x^4+x^2-3}}\)

x-> ∞

lim \(\dfrac{x^4+7}{x^4+1}\)

x-> +∞

lim \(\dfrac{5}{3x+2}\)

x-> +∞

lim \(\dfrac{x-\sqrt{x+2}}{x-^3\sqrt{3x+2}}\)

x-> 1

lim \(\dfrac{^3\sqrt{x+1}-1}{^{^4\sqrt{2x+1}-1}}\)

x-> 1

lim \(\dfrac{1+^3\sqrt{1+x}}{x+2}\)

x-> -2 

lim \(\dfrac{3_{\sqrt{x-1}}}{x-1}\)

x->1 

lim \(\dfrac{\sqrt{3\left(x+1\right)}-3}{x-\sqrt{x+2}}\)

x-> 2 

a) lim ( \(\sqrt{x^2-x+1}-\sqrt{x^2+x+1}\)

x-> +∞

b) lim \(\dfrac{\sqrt{4x+1}-3}{x^2-4}\)

x-> 2 

c) lim \(\dfrac{\sqrt{2x+5}-1}{x^2-4}\)

x-> -2

 a) lim ( \(\sqrt{x^2-x+1}-x\)) 

x-> +∞