Question 1
What is the main idea of analytic continuation?
Question 2
Why must an analytic continuation agree with the original function on the overlap of their domains?
Question 3
If two analytic functions agree on a set with an accumulation point inside a connected domain, what does that suggest?
Question 4
Which statement best describes how a power series can lead to analytic continuation?
Question 5
The power series $\sum_{n=0}^{\infty} z^n$ represents which function on $|z|<1$?