**Clarification**

If you look at page 42 of the textbook (section 1.4) you will find the series. In the test there will be no decomposition of the functions into power series, no differentiation or integration of power series, just determine the radius of the convergence (by either ratio test or root test) and determine what happens if $|z-z_0|=R$. Basically it is Calculus I material (and completely covered by Section 1.4). And then you had a radius of convergence and the interval of convergence.

Radius of convergence remains and the interval is replaced by a disk. Nothing new.

Further, in "old test 1" which was in the course earlier than our Test 1, there is such question.