Question

Radius of convergence and the interval of convergence. My question and solution below:

Answer 1

i'm not sure about the radius of convergence, will it be 2?

Answer 2

or should I take half of the with of the interval?
so it will be like

0-(-4) /2 = 4/2 = 2 , so it is still 2 then lol

am I right? >.>

Answer 3

2 is the radius of convergence assuming all calculations are correct because\[\left| x-a \right|<R\]. This must be true for convergence

Answer 4

okay thank you (: