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[latex]1)\quad \lim\limits _{x \to 0} \frac{sin^23x}{xtg(4x)} = \lim\limits _{x \to 0} \frac{(3x)^2}{x\cdot 4x} = \lim\limits _{x \to 0} \frac{9x^2}{4x^2} =\frac{9}{4}\\\\2)\quad \lim\limits _{x \to \frac{\pi}{36}} \frac{1-2cos(36x)}{3\cdot 36x-\pi } =[\; 1-2cos(36\cdot \frac{\pi}{36})=1-2\underbrace{cos\pi }_{-1}=3\; ;\\\\3\cdot 36\cdot \frac{\pi}{36}=3\pi \; ]=\frac{3}{3}=1[/latex]