Our teacher is being really nice (kinda) and teaching us some principles of calculus even if she shouldn't (crappy education system in my country), so you probably understand that we don't stay much at one principle in order to learn calculus.
The first was the limit, everything was OK until the teacher gave us an example that we didn't finish:
limit when x->inf. of function (4*2^x + 3^x)/(3*2^x + 3^x+1).
We always ended up to inf./inf. or 0/0, then she said (hope I translated right) we need to use base changing formulas and started to teach about slopes.
I couldn't find anything that could be under name "base change".
How could I solve this example? Does it have to do something with the mathematical constant e?