lim ( \(^4\sqrt{16x^4+3x+1}-\sqrt{4x^2+2}\)) 

x-> +∞

a) lim (2x+ \(\sqrt{4x^2-x+1}\)) 

x-> -∞

b) lim x\(\left(\sqrt{4x^2+1}-x\right)\)

x-> -∞

a) lim ( x²+x-1) 

x-> -∞

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

x-> +∞

c) lim x\(\left(\sqrt{x^2+2x}-2\sqrt{x^2+x}+x\right)\)

x-> +∞

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

x-> -∞

b) lim \(\dfrac{\left(2x+1\right)^3\left(x+2\right)^4}{\left(3-2x\right)^7}\)

x-> -∞

c) lim \(\dfrac{\sqrt{4x^2+x}+^3\sqrt{8x^3+x-1}}{^4\sqrt{x^4+3}}\)

x-> +∞

lim \(\dfrac{-2x^5+x^4-3}{3x^2-7}\)

x-> -∞

lim \(\dfrac{3x^2-x^5}{x^4+6x+5}\)

x-> +∞

lim \(\dfrac{cos5x}{2x}\)

x-> -∞

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

x-> + ∞

lim \(\dfrac{^3\sqrt{1+x^4+x^6}}{\sqrt{1+x^3+x^4}}\)

x-> -∞

lim \(\dfrac{1+3x}{\sqrt{2x^2+3}}\)

x-> -∞