$lim_{xto+infty}((x^6-sqrt(x^5+1))/(3+2sqrt(4x^12+x^2)))$

A cura di: Administrator

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

$lim_{x rightarrow +infty} frac{x^6-sqrt{x^5+1}} {3+2sqrt{4x^{12}+x^2}} = lim_{x rightarrow +infty} frac{x^6-x^6sqrt{frac{1}{x^7}+frac{1}{x^{12}}}}{3+2x^6sqrt{4+frac{1}{x^{10}}}} =$$lim_{x rightarrow +infty} frac{1-sqrt{frac{1}{x^7}-frac{1}{x^{12}}}}{frac{3}{x^6}+2sqrt{4+frac{1}{x^{10}}}} = frac{1}{4}$