1. The problem statement, all variables and given/known data Can you create a list of which functions increase towards infinity the fastest for limit solving? 2. Relevant equations 3. The attempt at a solution I'm trying to make a list from least speed, to fastest speed, in approaching infinity. As in, if you have a limit, and it has multiple types of functions, which function will be the largest, fastest. I tried making my own little list, but I'm not sure how accurate it is, or if I'm missing any functions. Also, I'm not sure where trig functions would fit onto this list, or if they even do, because they oscillate. I'm just trying to make this for a friend. Logarithmic > Square Root > Algebraic > Exponential ?