Lim x-0 (cosx-(cosx)^2)/(3x^2)

[latex] \lim_{x \to 0} \frac{cosx - cos^{2}x }{3 x^{2} } = [ \frac{0}{0} ] = \lim_{x \to 0} \frac{-sinx + 2cosxsinx }{6 x } =[ \frac{0}{0} ]=[/latex] [latex]= \lim_{x \to 0} \frac{-sinx- 2sin^{2}x+2cos^{2} x }{6 } = \frac{2}{6} = \frac{1}{3} [/latex]