A cura di: Administrator

Limite in forma indeterminata $frac{infty}{infty}$

$lim_{x rightarrow +infty} frac{sqrt{5x^4+20x^2+20}}{3x^2+6} =lim_{x rightarrow +infty} frac{x^2cdot sqrt{5+frac{20}{x^2}+frac{20}{x^4}}}{x^2cdot (3+frac{6}{x^2})} =$$lim_{x rightarrow +infty} frac{sqrt{5+frac{20}{x^2}+frac{20}{x^4}}}{3+frac{6}{x^2}} = frac{sqrt{5}}{3}$