$lim_{xto+infty}((sqrt(2x+3)-3)/(sqrt(x+1)-2))$

A cura di: Administrator

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

$lim_{x rightarrow +infty} frac{sqrt{2x+3}-3}{sqrt{x+1}-2} = lim_{x rightarrow +infty} frac{sqrt{x}cdot Big(sqrt{2+frac{3}{x}}-frac{3}{sqrt{x}}Big)}{sqrt{x}cdotBig(sqrt{1+frac{1}{x}}-frac{2}{sqrt{x}}Big)} = sqrt{2}$