1. The problem statement, all variables and given/known data lim x^n/n! = 0 for all x n->∞ 2. Relevant equations No equations, but I am currently in Calculus II in my first semester here at my University. Please help me prove why this limit is true! 3. The attempt at a solution I've tried to use natural logarithms and L'Hospital's rule, but I don't know if I can derive (n!). Any ideas?