## hpfan101 one year ago $\lim_{x \rightarrow \infty}=\tan^{-1} (e^x)$

1. anonymous

same as $\lim_{x \rightarrow \infty}=\tan^{-1} (x)$

2. hpfan101

Ok, thank you. You just did natural log to get rid of "e" right?

3. anonymous

no

4. anonymous

as $$x\to \infty$$ you have $$e^x\to\infty$$

5. anonymous

and arctangent is continuous, so if you want to be formal you can take the limit inside, but really it is just that the input is going to infinity

6. hpfan101

Oh, I see. Thanks!