$$\lim_{x \to 0^-}\left(\frac{\log{\left(3 \right)} \operatorname{acot}{\left(8 x \right)}}{\tan{\left(9 x \right)}}\right) = \infty$$
Más detalles con x→0 a la izquierda$$\lim_{x \to 0^+}\left(\frac{\log{\left(3 \right)} \operatorname{acot}{\left(8 x \right)}}{\tan{\left(9 x \right)}}\right) = \infty$$
$$\lim_{x \to \infty}\left(\frac{\log{\left(3 \right)} \operatorname{acot}{\left(8 x \right)}}{\tan{\left(9 x \right)}}\right)$$
Más detalles con x→oo$$\lim_{x \to 1^-}\left(\frac{\log{\left(3 \right)} \operatorname{acot}{\left(8 x \right)}}{\tan{\left(9 x \right)}}\right) = \frac{\log{\left(3 \right)} \operatorname{acot}{\left(8 \right)}}{\tan{\left(9 \right)}}$$
Más detalles con x→1 a la izquierda$$\lim_{x \to 1^+}\left(\frac{\log{\left(3 \right)} \operatorname{acot}{\left(8 x \right)}}{\tan{\left(9 x \right)}}\right) = \frac{\log{\left(3 \right)} \operatorname{acot}{\left(8 \right)}}{\tan{\left(9 \right)}}$$
Más detalles con x→1 a la derecha$$\lim_{x \to -\infty}\left(\frac{\log{\left(3 \right)} \operatorname{acot}{\left(8 x \right)}}{\tan{\left(9 x \right)}}\right)$$
Más detalles con x→-oo