Question

Solve this :

Answer 1

$\begin{array}{c}{lim}_{x\to \infty }\left({\tan }^{-1}\left(\frac{x+1}{x+4}\right)\right)-\pi /4\\ {lim}_{x\to \infty }\left[{\tan }^{-1}\left(\frac{1+1/x}{1+4/x}\right)=\pi /4\right]\\ {\tan }^{-1}\left(1\right)-\pi /4=0\end{array}$