1. The problem statement, all variables and given/known data limit as x approaches 0+ of x^(1/x) 2. Relevant equations 3. The attempt at a solution Usually I solve this limit by rewriting the limit as e^log(f(x)) and applying L'hopital rule. However: (All limits approach 0+) Lim x^(1/x) = exp( Lim log(x^(1/x)) ) = exp( Lim log(x) / x ) This is where I'd usually apply L'hopital rule and solve the problem. I can't tho, since x tends to 0 and log(x) tends to - infinity. I'm stuck here.. If anyone could point me in the right direction I'd appreciate. Thanks!