Respuesta :

[tex] \lim_{x \to 0} \frac{1-\cos{x}}{x\sin{x}} \\ \\ \lim_{x \to 0} \frac{1-\cos{x}}{x} \frac{1}{\sin{x}} \\ \\\lim_{x \to 0} \frac{1-\cos{x}}{x^2} \frac{x}{\sin{x}} \\ \\\lim_{x \to 0} \frac{1-\cos{x}}{x^2} \frac{1}{\frac{\sin{x}}{x}} \\ \\\lim_{x \to 0} \frac{1-\cos{x}}{x^2} \lim_{x \to 0} \frac{1}{\frac{\sin{x}}{x}} \\ \\\lim_{x \to 0} \frac{1-\cos{x}}{x^2} \frac{1}{\lim_{x \to 0}\frac{\sin{x}}{x}} \\ \\ \frac{1}{2} \times \frac{1}{1} = \frac{1}{2} [/tex]

Otras preguntas