$lim_{xto 0}((tanx-sinx)/x^3)$

A cura di: Administrator

Limite in forma indeterminata $frac{0}{0}$

$lim_{x rightarrow 0} frac{tan x – sin x}{x^3} =lim_{x rightarrow 0} frac{sin x}{x}cdot Big(frac{1}{cos x}-1Big)cdot frac{1}{x^2} =$$1cdot lim_{x rightarrow 0} frac{1}{cos x}cdot frac{1-cos x}{x^2} =frac{1}{2}$