1. The problem statement, all variables and given/known data Calculate limit as x approaches infinity of (e^x - x^3) 2. Relevant equations ln e^x = x e^(ln x) = x 3. The attempt at a solution I tried substituting x = ln e^x and got (e^x - (ln e^x)^3). I'm pretty much lost and this is my only attempt so far. I'm thinking that this is an indeterminate difference problem, and that I have to use L'Hospital's rule. I just can't to seem to convert this into a quotient. Thanks for any help you can provide!!