could someone give me an unsolved radius of convergence problem and I will work it and they can critique me?
so follow my work here if you wouldnt mind ...ok so I must find all x such that ...so ..we are left with ...now evaluating the limit we get so ...now I must test the endpoints of the test intervals..when I input x=0 we get and now realizing that for integral numbers since is a series for all odd integers...so now we have which is obviously a divergent harmonic series...now when we put 10 in for x after all the simplification we would get and seeing that this is equal to and using the Root test we get that and since that is it is divergent...so the series only converges on ...is that right?