Finding the limit of (9x + 5)/(7x + 9) as x approaches ∞.

So, I have to divide the numerator and denominator by the highest power of x in the denominator? If so, that would be 1. Therefore, I would have to divide both the numerator and denominator by x/1?

Is that correct?

Then I would get (9 + 5/x)/(7 + 9/x). Where would I go from there?

Okay, I got it. 5/x and 9/x become zero, so the answer is 9/7.

Do you always divide by the highest power of x in the denominator, and never the numerator?