1. The problem statement, all variables and given/known data Prove that z_n -> z_0 if and only if ~(z_n) -> ~(z_0) as n goes to infiinity. ~(z_n) is the conjugate of z_n. 2. Relevant equations 3. The attempt at a solution |~(z_n) - ~(z_0) | = | ~(z_n) + ~(-z_0)| <= |~(z_n)| + |~(-z_0) | = |z_n| + |z_0| <= and I can't come up with much else. It's about the same for the other direction as well.