I assume you're trying to find the horizontal asymptotes of the
Do you see why?
we are looking for all the components of the graph of arctan(e^x). We have arrived at a snag with the limit as x approches infinity. We think we have arrived at 0, which makes sense, but arent there supposed to be two? is 1/2e^2x(1/1+e^2x) the correct result of using lhospitales theorem.... at a snag here..