No, you shouldn't just replace x with "infinity" but you can use the basis limit "properties":

And now you can replace thoselimitswith their values to get .

So then does it just "jump" to: ?

Or is there some merit to doing this next (after splitting the func. to a quotient of limits): ? I thought this had no meaning; if it does what is the next step?

Thank you for any help, I know I got the answer, but it's the showing of the steps I am a little tripped up on. IF there is anything missing, can you also explain then how I can exactly express the other horizontal limit ?