what's the limit of arctan(x) as x tends to infinity.
Please help.
The function $\displaystyle \tan^{-1} x$ is not 'single value' ... but if You intend the branch of the function for which is $\displaystyle \tan^{-1} 0 = 0 $ the is...
$\displaystyle \lim_{x \rightarrow \infty} \tan^{-1} x = \frac{\pi}{2}$ (1)
Kind regards
$\displaystyle \chi$ $\displaystyle \sigma$