You're right on both accounts. You got the equation right.
Why did I want a graph? Oh, now I know why. Still, I need to be able to do it without a graph.
Thought:
Right hand: lim as x--> infinity f(x)/g(x) = 1
Left hand: lim as x--> - infinity f(x)/g(x) = 1
For the right, after expanding the equation
We have
as the right,
Guess: and
as the left, though no understanding how to prove, if even right.
Augh, this should be easy!!
Does it have to do with this?
Definition: A polynomial function (real) can be expressed in the form:
Our teacher, for some odd reason, didn't teach this, but it looks important since it was the first thing on the "Introduction to Calculus Tutorial" sticky on the Calculus board.
Thanks!