Find the vertical and horizontal asymptotes.

[bobraymund]

Homework Statement

Find the vertical and horizontal asymptotes.

Homework Equations

f(x) = e^{arctan x}

The Attempt at a Solution

Honestly, I am pretty stumped on this problem. I have graphed it on my calculator and messed around a bit, it seems that the horizontal asymptotes are around y = 0.20788 and y = 4.81048. Or something along those lines.

Any help would be greatly appreciated.

Thanks,
Bob

 

[Dick]

You'll need to figure out the limit of arctan(x) as x->infinity and (-infinity). Put the calculator away and remember the definition of arctan.

 

[bobraymund]

You'll need to figure out the limit of arctan(x) as x->infinity and (-infinity). Put the calculator away and remember the definition of arctan.

Oh, ha ha. Wow, how embarrassing.

It's just e^pi/2 and e^-pi/2.

Thanks, heh heh.

-bob