Question

$lim_{n to 0 } frac{2 sqrt{x} -3x}{3 sqrt{x} -2x}$

Answer 1

$lim_{x to +0} (frac{2sqrt x-3x}{3sqrt x-2x})=lim_{x to 0} (frac{2-3sqrt x}{3-2sqrt x})=frac{lim_{xto 0}(2-3sqrt x)}{lim_{xto 0}(3-2sqrt x)}=frac{2}{3}$