1. The problem statement, all variables and given/known data Okay, so the problem is to find lim (x→∞) (e^x + x) ^ (1/x) I was given the solution in the assignment in which the first step was to take the natural log of the function, then exponentiate it. i.e. lim (x→∞) [exp ln( (e^x + x) ^ (1/x))] which I understand. However the next step, the solution equated this with: exp [ lim (x→∞) ln( (e^x + x) ^ (1/x))] which I became confused with. Are the two equal? Am I missing out on something? This assignment we're doing l'Hospital's Rule, if that's of any help... I probably won't be able to understand too abstract math, currently doing my first year in university... Thanks.