Question 1
What is the defining property of an analytic function at a point?
Question 2
If a function is analytic on an open disk, what can be said locally about it?
Question 3
Suppose two analytic functions agree on a set with an accumulation point in a connected domain. What must be true?
Question 4
If an analytic function has a zero of order $3$ at $z_0$, which statement is true?
Question 5
Which operation always preserves analyticity when performed on analytic functions?
