$$\lim_{x \to \infty}\left(\frac{\cot^{2}{\left(x \right)}}{\left(- x + \left(2 - p\right)\right)^{4}}\right)$$
$$\lim_{x \to 0^-}\left(\frac{\cot^{2}{\left(x \right)}}{\left(- x + \left(2 - p\right)\right)^{4}}\right) = \infty \operatorname{sign}{\left(\frac{1}{p^{4} - 8 p^{3} + 24 p^{2} - 32 p + 16} \right)}$$
Más detalles con x→0 a la izquierda$$\lim_{x \to 0^+}\left(\frac{\cot^{2}{\left(x \right)}}{\left(- x + \left(2 - p\right)\right)^{4}}\right) = \infty \operatorname{sign}{\left(\frac{1}{p^{4} - 8 p^{3} + 24 p^{2} - 32 p + 16} \right)}$$
Más detalles con x→0 a la derecha$$\lim_{x \to 1^-}\left(\frac{\cot^{2}{\left(x \right)}}{\left(- x + \left(2 - p\right)\right)^{4}}\right) = \frac{1}{p^{4} \tan^{2}{\left(1 \right)} - 4 p^{3} \tan^{2}{\left(1 \right)} + 6 p^{2} \tan^{2}{\left(1 \right)} - 4 p \tan^{2}{\left(1 \right)} + \tan^{2}{\left(1 \right)}}$$
Más detalles con x→1 a la izquierda$$\lim_{x \to 1^+}\left(\frac{\cot^{2}{\left(x \right)}}{\left(- x + \left(2 - p\right)\right)^{4}}\right) = \frac{1}{p^{4} \tan^{2}{\left(1 \right)} - 4 p^{3} \tan^{2}{\left(1 \right)} + 6 p^{2} \tan^{2}{\left(1 \right)} - 4 p \tan^{2}{\left(1 \right)} + \tan^{2}{\left(1 \right)}}$$
Más detalles con x→1 a la derecha$$\lim_{x \to -\infty}\left(\frac{\cot^{2}{\left(x \right)}}{\left(- x + \left(2 - p\right)\right)^{4}}\right)$$
Más detalles con x→-oo