# limit arctan

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• May 29th 2010, 07:53 AM
ilikec
limit arctan
what's the limit of arctan(x) as x tends to infinity.

Please help.
• May 29th 2010, 08:07 AM
chisigma
The function $\tan^{-1} x$ is not 'single value' ... but if You intend the branch of the function for which is $\tan^{-1} 0 = 0$ the is...

$\lim_{x \rightarrow \infty} \tan^{-1} x = \frac{\pi}{2}$ (1)

Kind regards

$\chi$ $\sigma$