Hello i need to determine the radius of convergense for the following series:
Im thinking the ratio test, but as im pretty uncertain about these types of problems, i'd like a second opinion, and a bit of help
Yes, for any "radius of convergence" problem, the best way to go is either the ratio test or the root test (and most of the time the ratio test is much simpler than the root test).
Here, so .
Then
What is the limit of that as n goes to infinity?
For what x is that limit less than 1?