I have a problem using L'Hopital's rule and I can't seem to get the right answer. The problem is this:
Find the limit of [ln(x)]/[ln(2x)] as x goes to infinity.
I tried l'Hopital's rule, differentiating the top and the bottom, and then taking the limit of that expression. The derivative of the top is 1/x, and the derivative of the denominator is 1/4x (according to my calculations anyways). I find the limit of that expression, and I find that it is 4. Is that correct? However, I graph it on my calculator, and the limit seems to be 1. How do you get that?