Main Question or Discussion Point
If you are given two functions and asked which function goes faster. You divide on function by the other and you use lopitals rule. If your ratio gives you a constant it is said the two fuction grow at the same rate. I can't understand why 5x and 2x would be growing at the same rate. 5=2? Isn't rate 5 for 5x and 2 for 2x. how is it 5x and 2x growing at the same rate?