$\lim_{x \to \tan^{-1} 3} \frac{\tan^2 x - 2 \tan x - 3}{\tan^2 x - 4 \tan x + 3}$

Mathematics

Problem

\lim_{x \to \tan^{-1} 3} \frac{\tan^2 x - 2 \tan x - 3}{\tan^2 x - 4 \tan x + 3}