$\lim_{x \rightarrow +\infty} \frac{x+\cos x}{\sqrt{x}-1}

A cura di: Administrator

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

$lim_{x rightarrow +infty} frac{x+cos x}{sqrt{x}-1} = lim_{x rightarrow +infty} frac{xcdot(1+frac{cos x}{x})}{sqrt{x}cdot (1-frac{1}{sqrt{x}})} = +infty$