1. The problem statement, all variables and given/known data Prove that if f: R->R is an even function, then lim x->0 f(x)=L if and only if lim x->0+ f(x)=L. 2. Relevant equations 3. The attempt at a solution So far I have: If f is an even function f(x)=f(-x) for x in domain of f. Then I am trying to apply the limit definitions, but am unsure of how to write the proof from here.