Question

\[\lim_{x \rightarrow \infty}=\tan^{-1} (e^x)\]

Answer 1

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

Answer 2

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

Answer 3

no

Answer 4

as \(x\to \infty\) you have \(e^x\to\infty\)

Answer 5

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

Answer 6

Oh, I see. Thanks!