I’m taking a class in Complex Analysis and trying to prove the same result as found in this question.
In the accepted answer, a delta is chosen such that it’s the minimum of two values - one of those values has a $|z_0|$ in it. I was under the impression that delta could not have such variables in it when proving uniform continuity - but the delta is chosen such that the variable is canceled out at the end of the problem.
Is this allowed? I’ve never seen it done before and before I use this on an exam I’d rather know that it’s okay.