$$\lim_{x \to 0^-}\left(\left(x - \cot^{2}{\left(2 x \right)}\right) - \tan{\left(3 x \right)}\right) = -\infty$$
Más detalles con x→0 a la izquierda$$\lim_{x \to 0^+}\left(\left(x - \cot^{2}{\left(2 x \right)}\right) - \tan{\left(3 x \right)}\right) = -\infty$$
$$\lim_{x \to \infty}\left(\left(x - \cot^{2}{\left(2 x \right)}\right) - \tan{\left(3 x \right)}\right)$$
Más detalles con x→oo$$\lim_{x \to 1^-}\left(\left(x - \cot^{2}{\left(2 x \right)}\right) - \tan{\left(3 x \right)}\right) = - \frac{- \tan^{2}{\left(2 \right)} + \tan^{2}{\left(2 \right)} \tan{\left(3 \right)} + 1}{\tan^{2}{\left(2 \right)}}$$
Más detalles con x→1 a la izquierda$$\lim_{x \to 1^+}\left(\left(x - \cot^{2}{\left(2 x \right)}\right) - \tan{\left(3 x \right)}\right) = - \frac{- \tan^{2}{\left(2 \right)} + \tan^{2}{\left(2 \right)} \tan{\left(3 \right)} + 1}{\tan^{2}{\left(2 \right)}}$$
Más detalles con x→1 a la derecha$$\lim_{x \to -\infty}\left(\left(x - \cot^{2}{\left(2 x \right)}\right) - \tan{\left(3 x \right)}\right)$$
Más detalles con x→-oo