what's the limit of arctan(x) as x tends to infinity.

Please help.

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

Please help. - May 29th 2010, 08:07 AMchisigma
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

$\displaystyle \chi$ $\displaystyle \sigma$