$\lim_{x\to0}\frac{\sin^3(2x)\cos{(5x^{19})}}{x\tan{5x^2}}=\lim_{x\to0}\frac{\left\frac{(\sin{(2x))^3}}{(2x)^3}\times(2x)^3\right\cos{(5x^{19})}}{x\left\frac{\tan{(5x^2)}}{5x^2}\times(5x^2)\right}$
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