$lim_{xto 0}((sin(2x))/(sin(3x)))$

A cura di: Administrator

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

$lim_{xrightarrow 0}frac{sin(2x)}{sin(3x)}= lim_{xrightarrow 0}frac{2cdot 3cdot xcdotsin(2x)}{3cdot 2cdot xcdotsin(3x)}=$$lim_{xrightarrow 0}frac{2sin(2x)}{3cdot 2x}cdotlim_{xrightarrow 0}frac{3x}{sin(3x)} = frac{2}{3}$